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Finding the Fourth Proportional to 463.97, 696.27 and 247.70

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Solution

The fourth proportional to 463.97, 696.27 and 247.70 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 696.27 = 247.70 : x
  2. Step 2: Convert to fraction form
    463.97/696.27 = 247.70/x
  3. Step 3: Cross multiply
    463.97x = 696.27 × 247.70
  4. Step 4: Simplify right side
    463.97x = 172,462.60
  5. Step 5: Solve for x
    x = 172,462.60/463.97
  6. Step 6: Final answer
    x = 371.71

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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.