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Finding the Fourth Proportional to 498.48, 687.81 and 458.15

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Solution

The fourth proportional to 498.48, 687.81 and 458.15 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 687.81 = 458.15 : x
  2. Step 2: Convert to fraction form
    498.48/687.81 = 458.15/x
  3. Step 3: Cross multiply
    498.48x = 687.81 × 458.15
  4. Step 4: Simplify right side
    498.48x = 315,120.15
  5. Step 5: Solve for x
    x = 315,120.15/498.48
  6. Step 6: Final answer
    x = 632.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.