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Finding the Fourth Proportional to 385.12, 531.41 and 227.78

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Solution

The fourth proportional to 385.12, 531.41 and 227.78 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 531.41 = 227.78 : x
  2. Step 2: Convert to fraction form
    385.12/531.41 = 227.78/x
  3. Step 3: Cross multiply
    385.12x = 531.41 × 227.78
  4. Step 4: Simplify right side
    385.12x = 121,044.57
  5. Step 5: Solve for x
    x = 121,044.57/385.12
  6. Step 6: Final answer
    x = 314.30

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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.