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Finding the Fourth Proportional to 411.06, 567.27 and 224.57

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Solution

The fourth proportional to 411.06, 567.27 and 224.57 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 567.27 = 224.57 : x
  2. Step 2: Convert to fraction form
    411.06/567.27 = 224.57/x
  3. Step 3: Cross multiply
    411.06x = 567.27 × 224.57
  4. Step 4: Simplify right side
    411.06x = 127,388.36
  5. Step 5: Solve for x
    x = 127,388.36/411.06
  6. Step 6: Final answer
    x = 309.90

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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.