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Finding the Fourth Proportional to 399.24, 550.96 and 224.57

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Solution

The fourth proportional to 399.24, 550.96 and 224.57 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 550.96 = 224.57 : x
  2. Step 2: Convert to fraction form
    399.24/550.96 = 224.57/x
  3. Step 3: Cross multiply
    399.24x = 550.96 × 224.57
  4. Step 4: Simplify right side
    399.24x = 123,729.90
  5. Step 5: Solve for x
    x = 123,729.90/399.24
  6. Step 6: Final answer
    x = 309.91

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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.