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Finding the Fourth Proportional to 457.10, 687.17 and 423.28

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Solution

The fourth proportional to 457.10, 687.17 and 423.28 is: 636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 687.17 = 423.28 : x
  2. Step 2: Convert to fraction form
    457.10/687.17 = 423.28/x
  3. Step 3: Cross multiply
    457.10x = 687.17 × 423.28
  4. Step 4: Simplify right side
    457.10x = 290,863.20
  5. Step 5: Solve for x
    x = 290,863.20/457.10
  6. Step 6: Final answer
    x = 636.32

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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.