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Finding the Fourth Proportional to 542.09, 747.89 and 332.24

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Solution

The fourth proportional to 542.09, 747.89 and 332.24 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 747.89 = 332.24 : x
  2. Step 2: Convert to fraction form
    542.09/747.89 = 332.24/x
  3. Step 3: Cross multiply
    542.09x = 747.89 × 332.24
  4. Step 4: Simplify right side
    542.09x = 248,473.57
  5. Step 5: Solve for x
    x = 248,473.57/542.09
  6. Step 6: Final answer
    x = 458.37

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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.