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Finding the Fourth Proportional to 385.28, 531.67 and 254.37

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Solution

The fourth proportional to 385.28, 531.67 and 254.37 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 531.67 = 254.37 : x
  2. Step 2: Convert to fraction form
    385.28/531.67 = 254.37/x
  3. Step 3: Cross multiply
    385.28x = 531.67 × 254.37
  4. Step 4: Simplify right side
    385.28x = 135,240.90
  5. Step 5: Solve for x
    x = 135,240.90/385.28
  6. Step 6: Final answer
    x = 351.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.