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Finding the Fourth Proportional to 422.97, 634.46 and 130.47

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Solution

The fourth proportional to 422.97, 634.46 and 130.47 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.97 : 634.46 = 130.47 : x
  2. Step 2: Convert to fraction form
    422.97/634.46 = 130.47/x
  3. Step 3: Cross multiply
    422.97x = 634.46 × 130.47
  4. Step 4: Simplify right side
    422.97x = 82,777.34
  5. Step 5: Solve for x
    x = 82,777.34/422.97
  6. Step 6: Final answer
    x = 195.71

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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.