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Finding the Fourth Proportional to 521.08, 781.14 and 232.36

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Solution

The fourth proportional to 521.08, 781.14 and 232.36 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.08 : 781.14 = 232.36 : x
  2. Step 2: Convert to fraction form
    521.08/781.14 = 232.36/x
  3. Step 3: Cross multiply
    521.08x = 781.14 × 232.36
  4. Step 4: Simplify right side
    521.08x = 181,505.69
  5. Step 5: Solve for x
    x = 181,505.69/521.08
  6. Step 6: Final answer
    x = 348.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.