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Finding the Fourth Proportional to 398.67, 550.17 and 224.02

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Solution

The fourth proportional to 398.67, 550.17 and 224.02 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 550.17 = 224.02 : x
  2. Step 2: Convert to fraction form
    398.67/550.17 = 224.02/x
  3. Step 3: Cross multiply
    398.67x = 550.17 × 224.02
  4. Step 4: Simplify right side
    398.67x = 123,246.05
  5. Step 5: Solve for x
    x = 123,246.05/398.67
  6. Step 6: Final answer
    x = 309.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.