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Finding the Fourth Proportional to 542.34, 748.44 and 424.47

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Solution

The fourth proportional to 542.34, 748.44 and 424.47 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 748.44 = 424.47 : x
  2. Step 2: Convert to fraction form
    542.34/748.44 = 424.47/x
  3. Step 3: Cross multiply
    542.34x = 748.44 × 424.47
  4. Step 4: Simplify right side
    542.34x = 317,690.33
  5. Step 5: Solve for x
    x = 317,690.33/542.34
  6. Step 6: Final answer
    x = 585.78

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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.