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Finding the Fourth Proportional to 399.14, 550.69 and 224.48

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Solution

The fourth proportional to 399.14, 550.69 and 224.48 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.14 : 550.69 = 224.48 : x
  2. Step 2: Convert to fraction form
    399.14/550.69 = 224.48/x
  3. Step 3: Cross multiply
    399.14x = 550.69 × 224.48
  4. Step 4: Simplify right side
    399.14x = 123,618.89
  5. Step 5: Solve for x
    x = 123,618.89/399.14
  6. Step 6: Final answer
    x = 309.71

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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.