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Finding the Fourth Proportional to 411.26, 567.51 and 224.71

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Solution

The fourth proportional to 411.26, 567.51 and 224.71 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 567.51 = 224.71 : x
  2. Step 2: Convert to fraction form
    411.26/567.51 = 224.71/x
  3. Step 3: Cross multiply
    411.26x = 567.51 × 224.71
  4. Step 4: Simplify right side
    411.26x = 127,525.17
  5. Step 5: Solve for x
    x = 127,525.17/411.26
  6. Step 6: Final answer
    x = 310.09

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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.