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Finding the Fourth Proportional to 463.92, 640.18 and 267.42

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Solution

The fourth proportional to 463.92, 640.18 and 267.42 is: 369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 640.18 = 267.42 : x
  2. Step 2: Convert to fraction form
    463.92/640.18 = 267.42/x
  3. Step 3: Cross multiply
    463.92x = 640.18 × 267.42
  4. Step 4: Simplify right side
    463.92x = 171,196.94
  5. Step 5: Solve for x
    x = 171,196.94/463.92
  6. Step 6: Final answer
    x = 369.02

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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.