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Finding the Fourth Proportional to 542.37, 747.90 and 424.14

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Solution

The fourth proportional to 542.37, 747.90 and 424.14 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.37 : 747.90 = 424.14 : x
  2. Step 2: Convert to fraction form
    542.37/747.90 = 424.14/x
  3. Step 3: Cross multiply
    542.37x = 747.90 × 424.14
  4. Step 4: Simplify right side
    542.37x = 317,211.50
  5. Step 5: Solve for x
    x = 317,211.50/542.37
  6. Step 6: Final answer
    x = 584.86

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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.