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Finding the Fourth Proportional to 410.98, 567.14 and 224.47

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Solution

The fourth proportional to 410.98, 567.14 and 224.47 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 567.14 = 224.47 : x
  2. Step 2: Convert to fraction form
    410.98/567.14 = 224.47/x
  3. Step 3: Cross multiply
    410.98x = 567.14 × 224.47
  4. Step 4: Simplify right side
    410.98x = 127,305.92
  5. Step 5: Solve for x
    x = 127,305.92/410.98
  6. Step 6: Final answer
    x = 309.76

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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.