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Finding the Fourth Proportional to 327.30, 489.81 and 205.62

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Solution

The fourth proportional to 327.30, 489.81 and 205.62 is: 307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 489.81 = 205.62 : x
  2. Step 2: Convert to fraction form
    327.30/489.81 = 205.62/x
  3. Step 3: Cross multiply
    327.30x = 489.81 × 205.62
  4. Step 4: Simplify right side
    327.30x = 100,714.73
  5. Step 5: Solve for x
    x = 100,714.73/327.30
  6. Step 6: Final answer
    x = 307.71

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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.