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Finding the Fourth Proportional to 410.97, 567.16 and 224.47

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Solution

The fourth proportional to 410.97, 567.16 and 224.47 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 567.16 = 224.47 : x
  2. Step 2: Convert to fraction form
    410.97/567.16 = 224.47/x
  3. Step 3: Cross multiply
    410.97x = 567.16 × 224.47
  4. Step 4: Simplify right side
    410.97x = 127,310.41
  5. Step 5: Solve for x
    x = 127,310.41/410.97
  6. Step 6: Final answer
    x = 309.78

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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.