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Finding the Fourth Proportional to 399.25, 550.97 and 224.59

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Solution

The fourth proportional to 399.25, 550.97 and 224.59 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.25 : 550.97 = 224.59 : x
  2. Step 2: Convert to fraction form
    399.25/550.97 = 224.59/x
  3. Step 3: Cross multiply
    399.25x = 550.97 × 224.59
  4. Step 4: Simplify right side
    399.25x = 123,742.35
  5. Step 5: Solve for x
    x = 123,742.35/399.25
  6. Step 6: Final answer
    x = 309.94

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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.