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Finding the Fourth Proportional to 542.70, 748.71 and 365.94

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Solution

The fourth proportional to 542.70, 748.71 and 365.94 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.70 : 748.71 = 365.94 : x
  2. Step 2: Convert to fraction form
    542.70/748.71 = 365.94/x
  3. Step 3: Cross multiply
    542.70x = 748.71 × 365.94
  4. Step 4: Simplify right side
    542.70x = 273,982.94
  5. Step 5: Solve for x
    x = 273,982.94/542.70
  6. Step 6: Final answer
    x = 504.85

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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.