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Finding the Fourth Proportional to 327.76, 491.46 and 205.96

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Solution

The fourth proportional to 327.76, 491.46 and 205.96 is: 308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 491.46 = 205.96 : x
  2. Step 2: Convert to fraction form
    327.76/491.46 = 205.96/x
  3. Step 3: Cross multiply
    327.76x = 491.46 × 205.96
  4. Step 4: Simplify right side
    327.76x = 101,221.10
  5. Step 5: Solve for x
    x = 101,221.10/327.76
  6. Step 6: Final answer
    x = 308.83

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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.