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Finding the Fourth Proportional to 327.93, 491.76 and 206.79

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Solution

The fourth proportional to 327.93, 491.76 and 206.79 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 491.76 = 206.79 : x
  2. Step 2: Convert to fraction form
    327.93/491.76 = 206.79/x
  3. Step 3: Cross multiply
    327.93x = 491.76 × 206.79
  4. Step 4: Simplify right side
    327.93x = 101,691.05
  5. Step 5: Solve for x
    x = 101,691.05/327.93
  6. Step 6: Final answer
    x = 310.10

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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.