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Finding the Fourth Proportional to 411.31, 615.88 and 227.78

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Solution

The fourth proportional to 411.31, 615.88 and 227.78 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.31 : 615.88 = 227.78 : x
  2. Step 2: Convert to fraction form
    411.31/615.88 = 227.78/x
  3. Step 3: Cross multiply
    411.31x = 615.88 × 227.78
  4. Step 4: Simplify right side
    411.31x = 140,282.35
  5. Step 5: Solve for x
    x = 140,282.35/411.31
  6. Step 6: Final answer
    x = 341.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.