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Finding the Fourth Proportional to 542.79, 748.04 and 387.27

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Solution

The fourth proportional to 542.79, 748.04 and 387.27 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 748.04 = 387.27 : x
  2. Step 2: Convert to fraction form
    542.79/748.04 = 387.27/x
  3. Step 3: Cross multiply
    542.79x = 748.04 × 387.27
  4. Step 4: Simplify right side
    542.79x = 289,691.51
  5. Step 5: Solve for x
    x = 289,691.51/542.79
  6. Step 6: Final answer
    x = 533.71

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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.