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Finding the Fourth Proportional to 422.29, 634.65 and 278.92

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Solution

The fourth proportional to 422.29, 634.65 and 278.92 is: 419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 634.65 = 278.92 : x
  2. Step 2: Convert to fraction form
    422.29/634.65 = 278.92/x
  3. Step 3: Cross multiply
    422.29x = 634.65 × 278.92
  4. Step 4: Simplify right side
    422.29x = 177,016.58
  5. Step 5: Solve for x
    x = 177,016.58/422.29
  6. Step 6: Final answer
    x = 419.18

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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.