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Finding the Fourth Proportional to 640.71, 960.42 and 311.43

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Solution

The fourth proportional to 640.71, 960.42 and 311.43 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.71 : 960.42 = 311.43 : x
  2. Step 2: Convert to fraction form
    640.71/960.42 = 311.43/x
  3. Step 3: Cross multiply
    640.71x = 960.42 × 311.43
  4. Step 4: Simplify right side
    640.71x = 299,103.60
  5. Step 5: Solve for x
    x = 299,103.60/640.71
  6. Step 6: Final answer
    x = 466.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.