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Finding the Fourth Proportional to 463.44, 640.50 and 408.62

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Solution

The fourth proportional to 463.44, 640.50 and 408.62 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.44 : 640.50 = 408.62 : x
  2. Step 2: Convert to fraction form
    463.44/640.50 = 408.62/x
  3. Step 3: Cross multiply
    463.44x = 640.50 × 408.62
  4. Step 4: Simplify right side
    463.44x = 261,721.11
  5. Step 5: Solve for x
    x = 261,721.11/463.44
  6. Step 6: Final answer
    x = 564.74

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Why These Related Problems?

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