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Finding the Fourth Proportional to 411.39, 567.75 and 224.91

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Solution

The fourth proportional to 411.39, 567.75 and 224.91 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 567.75 = 224.91 : x
  2. Step 2: Convert to fraction form
    411.39/567.75 = 224.91/x
  3. Step 3: Cross multiply
    411.39x = 567.75 × 224.91
  4. Step 4: Simplify right side
    411.39x = 127,690.78
  5. Step 5: Solve for x
    x = 127,690.78/411.39
  6. Step 6: Final answer
    x = 310.39

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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.