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Finding the Fourth Proportional to 327.25, 489.66 and 204.94

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Solution

The fourth proportional to 327.25, 489.66 and 204.94 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 489.66 = 204.94 : x
  2. Step 2: Convert to fraction form
    327.25/489.66 = 204.94/x
  3. Step 3: Cross multiply
    327.25x = 489.66 × 204.94
  4. Step 4: Simplify right side
    327.25x = 100,350.92
  5. Step 5: Solve for x
    x = 100,350.92/327.25
  6. Step 6: Final answer
    x = 306.65

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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.