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Finding the Fourth Proportional to 641.12, 960.24 and 458.72

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Solution

The fourth proportional to 641.12, 960.24 and 458.72 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 960.24 = 458.72 : x
  2. Step 2: Convert to fraction form
    641.12/960.24 = 458.72/x
  3. Step 3: Cross multiply
    641.12x = 960.24 × 458.72
  4. Step 4: Simplify right side
    641.12x = 440,481.29
  5. Step 5: Solve for x
    x = 440,481.29/641.12
  6. Step 6: Final answer
    x = 687.05

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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.