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Finding the Fourth Proportional to 542.10, 748.09 and 293.42

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Solution

The fourth proportional to 542.10, 748.09 and 293.42 is: 404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 748.09 = 293.42 : x
  2. Step 2: Convert to fraction form
    542.10/748.09 = 293.42/x
  3. Step 3: Cross multiply
    542.10x = 748.09 × 293.42
  4. Step 4: Simplify right side
    542.10x = 219,500.83
  5. Step 5: Solve for x
    x = 219,500.83/542.10
  6. Step 6: Final answer
    x = 404.91

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