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Finding the Fourth Proportional to 398.18, 600.22 and 381.70

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Solution

The fourth proportional to 398.18, 600.22 and 381.70 is: 575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 600.22 = 381.70 : x
  2. Step 2: Convert to fraction form
    398.18/600.22 = 381.70/x
  3. Step 3: Cross multiply
    398.18x = 600.22 × 381.70
  4. Step 4: Simplify right side
    398.18x = 229,103.97
  5. Step 5: Solve for x
    x = 229,103.97/398.18
  6. Step 6: Final answer
    x = 575.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.