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Finding the Fourth Proportional to 457.45, 686.17 and 133.04

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Solution

The fourth proportional to 457.45, 686.17 and 133.04 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 686.17 = 133.04 : x
  2. Step 2: Convert to fraction form
    457.45/686.17 = 133.04/x
  3. Step 3: Cross multiply
    457.45x = 686.17 × 133.04
  4. Step 4: Simplify right side
    457.45x = 91,289.94
  5. Step 5: Solve for x
    x = 91,289.94/457.45
  6. Step 6: Final answer
    x = 199.56

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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.