Let $x, y, z > 0$ such that \((x+y+z)\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)=\frac{91}{10}\). Compute \(\left[(x^3+y^3+z^3)\left(\frac{1}{x^3}+\frac{1}{y^3}+\frac{1}{z^3}\right)\right]\) where \([.]\) represents the integer part.

Let's think step by step and output the final answer within \boxed{}.
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