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Finding the Fourth Proportional to 422.83, 634.17 and 191.68

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Solution

The fourth proportional to 422.83, 634.17 and 191.68 is: 287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.83 : 634.17 = 191.68 : x
  2. Step 2: Convert to fraction form
    422.83/634.17 = 191.68/x
  3. Step 3: Cross multiply
    422.83x = 634.17 × 191.68
  4. Step 4: Simplify right side
    422.83x = 121,557.71
  5. Step 5: Solve for x
    x = 121,557.71/422.83
  6. Step 6: Final answer
    x = 287.49

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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.