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Finding the Fourth Proportional to 542.89, 748.20 and 431.92

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Solution

The fourth proportional to 542.89, 748.20 and 431.92 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 748.20 = 431.92 : x
  2. Step 2: Convert to fraction form
    542.89/748.20 = 431.92/x
  3. Step 3: Cross multiply
    542.89x = 748.20 × 431.92
  4. Step 4: Simplify right side
    542.89x = 323,162.54
  5. Step 5: Solve for x
    x = 323,162.54/542.89
  6. Step 6: Final answer
    x = 595.26

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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.