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Finding the Fourth Proportional to 398.83, 550.38 and 224.17

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Solution

The fourth proportional to 398.83, 550.38 and 224.17 is: 309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.83 : 550.38 = 224.17 : x
  2. Step 2: Convert to fraction form
    398.83/550.38 = 224.17/x
  3. Step 3: Cross multiply
    398.83x = 550.38 × 224.17
  4. Step 4: Simplify right side
    398.83x = 123,378.68
  5. Step 5: Solve for x
    x = 123,378.68/398.83
  6. Step 6: Final answer
    x = 309.35

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Why These Related Problems?

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