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Finding the Fourth Proportional to 542.52, 748.17 and 345.78

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Solution

The fourth proportional to 542.52, 748.17 and 345.78 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 748.17 = 345.78 : x
  2. Step 2: Convert to fraction form
    542.52/748.17 = 345.78/x
  3. Step 3: Cross multiply
    542.52x = 748.17 × 345.78
  4. Step 4: Simplify right side
    542.52x = 258,702.22
  5. Step 5: Solve for x
    x = 258,702.22/542.52
  6. Step 6: Final answer
    x = 476.85

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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.