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Finding the Fourth Proportional to 411.05, 567.24 and 224.54

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Solution

The fourth proportional to 411.05, 567.24 and 224.54 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 567.24 = 224.54 : x
  2. Step 2: Convert to fraction form
    411.05/567.24 = 224.54/x
  3. Step 3: Cross multiply
    411.05x = 567.24 × 224.54
  4. Step 4: Simplify right side
    411.05x = 127,366.52
  5. Step 5: Solve for x
    x = 127,366.52/411.05
  6. Step 6: Final answer
    x = 309.85

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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.