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Finding the Fourth Proportional to 457.48, 630.96 and 387.73

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Solution

The fourth proportional to 457.48, 630.96 and 387.73 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 630.96 = 387.73 : x
  2. Step 2: Convert to fraction form
    457.48/630.96 = 387.73/x
  3. Step 3: Cross multiply
    457.48x = 630.96 × 387.73
  4. Step 4: Simplify right side
    457.48x = 244,642.12
  5. Step 5: Solve for x
    x = 244,642.12/457.48
  6. Step 6: Final answer
    x = 534.76

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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.