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Finding the Fourth Proportional to 399.22, 550.80 and 224.56

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Solution

The fourth proportional to 399.22, 550.80 and 224.56 is: 309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.22 : 550.80 = 224.56 : x
  2. Step 2: Convert to fraction form
    399.22/550.80 = 224.56/x
  3. Step 3: Cross multiply
    399.22x = 550.80 × 224.56
  4. Step 4: Simplify right side
    399.22x = 123,687.65
  5. Step 5: Solve for x
    x = 123,687.65/399.22
  6. Step 6: Final answer
    x = 309.82

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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.