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Finding the Fourth Proportional to 457.48, 686.44 and 452.44

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Solution

The fourth proportional to 457.48, 686.44 and 452.44 is: 678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 686.44 = 452.44 : x
  2. Step 2: Convert to fraction form
    457.48/686.44 = 452.44/x
  3. Step 3: Cross multiply
    457.48x = 686.44 × 452.44
  4. Step 4: Simplify right side
    457.48x = 310,572.91
  5. Step 5: Solve for x
    x = 310,572.91/457.48
  6. Step 6: Final answer
    x = 678.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.