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📰 We want positive ratio. Try $ y = \frac{-7 + \sqrt{7}}{9} \approx \frac{-7 + 2.6458}{9} = \frac{-4.3542}{9} \approx -0.484 $, negative. Other root: $ \frac{-7 - 2.6458}{9} < 0 $. Both negative — meaning $ A/d < 0 $, so first and last have opposite signs — impossible for $ A^2 + (A+3d)^2 = (sum)^2 $ unless not ordered. 📰 Wait — the original assumption about ordering may be wrong. Try symmetric AP: let the four terms be $ a - 3d, a - d, a + d, a + 3d $ — symmetric around $ a $. This is a valid arithmetic progression with common difference $ 2d $, but we can scale. Define as AP with common difference $ 2d' $, but to match convention, let common difference be $ 2d $, so terms: $ a - 3d, a - d, a + d, a + 3d $. Then first: $ a - 3d $, last: $ a + 3d $, sum of squares: $ (a-3d)^2 + (a+3d)^2 = 2a^2 + 18d^2 $. Sum of all: $ 4a $, square: $ 16a^2 $. Set equal: 📰 2a^2 + 18d^2 = 16a^2 \Rightarrow 18d^2 = 14a^2 \Rightarrow \frac{d^2}{a^2} = \frac{14}{18} = \frac{7}{9}. 📰 In Regards To 240691 📰 Public Boat Dock 9628261 📰 Gelstad Breakthrough Why This Trend Setting Innovation Is Taking Over Rankings 8629679 📰 Arkansas Recruits Football 7238884 📰 How Many Kids Does Alec Baldwin Have 4136251 📰 Is This The Most Epic Bethesda Softworks Game Yet Fan Reactions Are Insane 4114175 📰 Uber Shuttle 295424 📰 Why Ultratech Cement Ltd Is Largest Profit Betcheck Its Sharply Rising Stock Now 8789918 📰 Finally How Lecteur Windows Media 11 Outperforms All Windows Media Players In 2024 365241 📰 This Final Venom Movie Breaks All Recordsare You Ready To Be Shocked 3883297 📰 Boxed180 3751548 📰 From Streets To Soul Food South Bronxs Greatest Secrets You Need To Know 1263751 📰 You Wont Believe How Addicting It Isplay These Thrilling Car Games Tonight 2485187 📰 Panera Stock Price 6850524 📰 How Long Is A Cfb Halftime 4020968