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Finding the Fourth Proportional to 411.31, 567.61 and 224.80

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Solution

The fourth proportional to 411.31, 567.61 and 224.80 is: 310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.31 : 567.61 = 224.80 : x
  2. Step 2: Convert to fraction form
    411.31/567.61 = 224.80/x
  3. Step 3: Cross multiply
    411.31x = 567.61 × 224.80
  4. Step 4: Simplify right side
    411.31x = 127,598.98
  5. Step 5: Solve for x
    x = 127,598.98/411.31
  6. Step 6: Final answer
    x = 310.22

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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.