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Finding the Fourth Proportional to 411.17, 567.39 and 224.62

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Solution

The fourth proportional to 411.17, 567.39 and 224.62 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.17 : 567.39 = 224.62 : x
  2. Step 2: Convert to fraction form
    411.17/567.39 = 224.62/x
  3. Step 3: Cross multiply
    411.17x = 567.39 × 224.62
  4. Step 4: Simplify right side
    411.17x = 127,449.13
  5. Step 5: Solve for x
    x = 127,449.13/411.17
  6. Step 6: Final answer
    x = 309.97

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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.