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Finding the Fourth Proportional to 327.42, 491.30 and 217.46

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Solution

The fourth proportional to 327.42, 491.30 and 217.46 is: 326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 491.30 = 217.46 : x
  2. Step 2: Convert to fraction form
    327.42/491.30 = 217.46/x
  3. Step 3: Cross multiply
    327.42x = 491.30 × 217.46
  4. Step 4: Simplify right side
    327.42x = 106,839.87
  5. Step 5: Solve for x
    x = 106,839.87/327.42
  6. Step 6: Final answer
    x = 326.31

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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.