Evaluate: 3/4 + 15/7 ÷ 4/7 of 2 1/3 / (1 3/7 - 5/8) × 2/3

1.
Let $X = \sqrt[3]{\frac{36.72 \times (0.46)^2}{185.4}}$.
Taking the logarithm of both sides:

$$\log X = \log \left( \frac{36.72 \times (0.46)^2}{185.4} \right)^{\frac{1}{3}}$$ $$\log X = \frac{1}{3} \left[ \log(36.72) + 2\log(0.46) - \log(185.4) \right]$$

Step 1: Find the logarithms of the numbers using logarithm tables.

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