[ppsyvvgs] More on the 3-4-5 Pythagorean triple

Following the pattern of
3^2 + 4^2 = 5^2 and
3^3 + 4^3 + 5^3 = 6^3

We have, in the spirit of forcing things to fit even when they don't:
3^4 + 4^4 + 5^4 + 6^4 = seven^4, where seven = 6.893360391134855
3^four + 4^four + 5^four + 6^four = 7^four, where four = 3.77979812719782
(3+zero)^4 + (4+zero)^4 + (5+zero)^4 + (6+zero)^4 = (7+zero)^4, where zero = 0.329472905045
(3*one)^4 + (4*one)^4 + (5*one)^4 + (6*one)^4 = 7^4, where one = 1.0154699

Inspired by Euler's Sum of Powers conjecture.