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Finding the Fourth Proportional to 327.04, 490.31 and 180.85

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Solution

The fourth proportional to 327.04, 490.31 and 180.85 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 490.31 = 180.85 : x
  2. Step 2: Convert to fraction form
    327.04/490.31 = 180.85/x
  3. Step 3: Cross multiply
    327.04x = 490.31 × 180.85
  4. Step 4: Simplify right side
    327.04x = 88,672.56
  5. Step 5: Solve for x
    x = 88,672.56/327.04
  6. Step 6: Final answer
    x = 271.14

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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.