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Finding the Fourth Proportional to 385.20, 531.66 and 254.22

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Solution

The fourth proportional to 385.20, 531.66 and 254.22 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 531.66 = 254.22 : x
  2. Step 2: Convert to fraction form
    385.20/531.66 = 254.22/x
  3. Step 3: Cross multiply
    385.20x = 531.66 × 254.22
  4. Step 4: Simplify right side
    385.20x = 135,158.61
  5. Step 5: Solve for x
    x = 135,158.61/385.20
  6. Step 6: Final answer
    x = 350.88

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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.