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Finding the Fourth Proportional to 422.40, 634.14 and 398.64

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Solution

The fourth proportional to 422.40, 634.14 and 398.64 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 634.14 = 398.64 : x
  2. Step 2: Convert to fraction form
    422.40/634.14 = 398.64/x
  3. Step 3: Cross multiply
    422.40x = 634.14 × 398.64
  4. Step 4: Simplify right side
    422.40x = 252,793.57
  5. Step 5: Solve for x
    x = 252,793.57/422.40
  6. Step 6: Final answer
    x = 598.47

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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.