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Finding the Fourth Proportional to 327.38, 491.20 and 197.46

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Solution

The fourth proportional to 327.38, 491.20 and 197.46 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 491.20 = 197.46 : x
  2. Step 2: Convert to fraction form
    327.38/491.20 = 197.46/x
  3. Step 3: Cross multiply
    327.38x = 491.20 × 197.46
  4. Step 4: Simplify right side
    327.38x = 96,992.35
  5. Step 5: Solve for x
    x = 96,992.35/327.38
  6. Step 6: Final answer
    x = 296.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.