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Finding the Fourth Proportional to 542.72, 748.76 and 332.82

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Solution

The fourth proportional to 542.72, 748.76 and 332.82 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 748.76 = 332.82 : x
  2. Step 2: Convert to fraction form
    542.72/748.76 = 332.82/x
  3. Step 3: Cross multiply
    542.72x = 748.76 × 332.82
  4. Step 4: Simplify right side
    542.72x = 249,202.30
  5. Step 5: Solve for x
    x = 249,202.30/542.72
  6. Step 6: Final answer
    x = 459.17

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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.