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Finding the Fourth Proportional to 542.70, 748.10 and 376.85

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Solution

The fourth proportional to 542.70, 748.10 and 376.85 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 748.10 = 376.85 : x
  2. Step 2: Convert to fraction form
    542.70/748.10 = 376.85/x
  3. Step 3: Cross multiply
    542.70x = 748.10 × 376.85
  4. Step 4: Simplify right side
    542.70x = 281,924.30
  5. Step 5: Solve for x
    x = 281,924.30/542.70
  6. Step 6: Final answer
    x = 519.48

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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.