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Finding the Fourth Proportional to 463.11, 638.57 and 434.87

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Solution

The fourth proportional to 463.11, 638.57 and 434.87 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.11 : 638.57 = 434.87 : x
  2. Step 2: Convert to fraction form
    463.11/638.57 = 434.87/x
  3. Step 3: Cross multiply
    463.11x = 638.57 × 434.87
  4. Step 4: Simplify right side
    463.11x = 277,689.57
  5. Step 5: Solve for x
    x = 277,689.57/463.11
  6. Step 6: Final answer
    x = 599.62

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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.