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Finding the Fourth Proportional to 463.97, 640.43 and 267.56

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Solution

The fourth proportional to 463.97, 640.43 and 267.56 is: 369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 640.43 = 267.56 : x
  2. Step 2: Convert to fraction form
    463.97/640.43 = 267.56/x
  3. Step 3: Cross multiply
    463.97x = 640.43 × 267.56
  4. Step 4: Simplify right side
    463.97x = 171,350.92
  5. Step 5: Solve for x
    x = 171,350.92/463.97
  6. Step 6: Final answer
    x = 369.32

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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.