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Finding the Fourth Proportional to 411.24, 567.51 and 224.73

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Solution

The fourth proportional to 411.24, 567.51 and 224.73 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 567.51 = 224.73 : x
  2. Step 2: Convert to fraction form
    411.24/567.51 = 224.73/x
  3. Step 3: Cross multiply
    411.24x = 567.51 × 224.73
  4. Step 4: Simplify right side
    411.24x = 127,537.08
  5. Step 5: Solve for x
    x = 127,537.08/411.24
  6. Step 6: Final answer
    x = 310.13

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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.