Find the fourth proportion of the following numbers. \(\frac{1}{3}\) of 18, \(\frac{4}{5}\) of 20, \(\frac{3}{7}\) of 28.
32
The correct answer is 32.
Continued Proportion: Three numbers a, b, c are in continued proportion if a:b::b:c. In this case, b^2 = ac, and b is called the mean proportional between a and c. Four numbers a, b, c, d are in continued proportion if a:b::b:c::c:d. Finding the fourth proportion is a specific application of setting up and solving a basic proportion equation, which relies on the property that the product of the extremes equals the product of the means.
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