find the fourth proportional to (x-y),(x²-y²) and (x²-xy+y²)
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Answer:
let forth proportional be k.
a/q
(x - y) / (x2 - y2) = (x2 -xy +y2) / k
=> (x - y) / (x + y) *(x - y) = (x2 - xy + y2) / k
=>k = (x+ y) *(x2 -xy + y2)
therefore, k = x3 + y3.
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