Three numbers are to one another 2:3:4. The sum of their cubes is 0.334125. Find the numbers.
Lest assume the numbers be 2a, 3a, and 4a.
According to the question:
(2a)3+ (3a)3+(4a)3 = 0.334125
= 8a3+27 a3+64 a3 = 0.334125
=99 a3 = 0.334125
= a3 = 
= a = 
= a = 
= a = 
Thus the numbers are:
2×0.15 = 0.30
3×0.15 = 0.45
4×0.15 = 0.60
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