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Finding the Fourth Proportional to 523.27, 721.09 and 472.93

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Solution

The fourth proportional to 523.27, 721.09 and 472.93 is: 651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.27 : 721.09 = 472.93 : x
  2. Step 2: Convert to fraction form
    523.27/721.09 = 472.93/x
  3. Step 3: Cross multiply
    523.27x = 721.09 × 472.93
  4. Step 4: Simplify right side
    523.27x = 341,022.73
  5. Step 5: Solve for x
    x = 341,022.73/523.27
  6. Step 6: Final answer
    x = 651.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.