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Finding the Fourth Proportional to 399.23, 550.92 and 224.57

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Solution

The fourth proportional to 399.23, 550.92 and 224.57 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.23 : 550.92 = 224.57 : x
  2. Step 2: Convert to fraction form
    399.23/550.92 = 224.57/x
  3. Step 3: Cross multiply
    399.23x = 550.92 × 224.57
  4. Step 4: Simplify right side
    399.23x = 123,720.10
  5. Step 5: Solve for x
    x = 123,720.10/399.23
  6. Step 6: Final answer
    x = 309.90

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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.