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Finding the Fourth Proportional to 463.09, 696.18 and 327.11

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Solution

The fourth proportional to 463.09, 696.18 and 327.11 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.09 : 696.18 = 327.11 : x
  2. Step 2: Convert to fraction form
    463.09/696.18 = 327.11/x
  3. Step 3: Cross multiply
    463.09x = 696.18 × 327.11
  4. Step 4: Simplify right side
    463.09x = 227,727.44
  5. Step 5: Solve for x
    x = 227,727.44/463.09
  6. Step 6: Final answer
    x = 491.76

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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.