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Finding the Fourth Proportional to 411.27, 567.57 and 224.77

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Solution

The fourth proportional to 411.27, 567.57 and 224.77 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 567.57 = 224.77 : x
  2. Step 2: Convert to fraction form
    411.27/567.57 = 224.77/x
  3. Step 3: Cross multiply
    411.27x = 567.57 × 224.77
  4. Step 4: Simplify right side
    411.27x = 127,571.59
  5. Step 5: Solve for x
    x = 127,571.59/411.27
  6. Step 6: Final answer
    x = 310.19

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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.