Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.) (4, 8, 256) (2, 9, 144)

Select the related number from the given alternatives. 432 : 9 :: 512 : ?

Choose the option that is related to the first number in the same way that the fourth number is related to the third number and the sixth number is related to the fifth number. 529 : ? :: 729 : 900 :: 441 : 576