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Finding the Fourth Proportional to 411.09, 567.31 and 224.58

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Solution

The fourth proportional to 411.09, 567.31 and 224.58 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.09 : 567.31 = 224.58 : x
  2. Step 2: Convert to fraction form
    411.09/567.31 = 224.58/x
  3. Step 3: Cross multiply
    411.09x = 567.31 × 224.58
  4. Step 4: Simplify right side
    411.09x = 127,407.90
  5. Step 5: Solve for x
    x = 127,407.90/411.09
  6. Step 6: Final answer
    x = 309.93

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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.