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Finding the Fourth Proportional to 463.52, 638.87 and 393.77

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Solution

The fourth proportional to 463.52, 638.87 and 393.77 is: 542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 638.87 = 393.77 : x
  2. Step 2: Convert to fraction form
    463.52/638.87 = 393.77/x
  3. Step 3: Cross multiply
    463.52x = 638.87 × 393.77
  4. Step 4: Simplify right side
    463.52x = 251,562.68
  5. Step 5: Solve for x
    x = 251,562.68/463.52
  6. Step 6: Final answer
    x = 542.73

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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.