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Finding the Fourth Proportional to 498.46, 686.88 and 463.87

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Solution

The fourth proportional to 498.46, 686.88 and 463.87 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.46 : 686.88 = 463.87 : x
  2. Step 2: Convert to fraction form
    498.46/686.88 = 463.87/x
  3. Step 3: Cross multiply
    498.46x = 686.88 × 463.87
  4. Step 4: Simplify right side
    498.46x = 318,623.03
  5. Step 5: Solve for x
    x = 318,623.03/498.46
  6. Step 6: Final answer
    x = 639.21

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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.