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Finding the Fourth Proportional to 366.18, 549.31 and 327.91

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Solution

The fourth proportional to 366.18, 549.31 and 327.91 is: 491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 549.31 = 327.91 : x
  2. Step 2: Convert to fraction form
    366.18/549.31 = 327.91/x
  3. Step 3: Cross multiply
    366.18x = 549.31 × 327.91
  4. Step 4: Simplify right side
    366.18x = 180,122.05
  5. Step 5: Solve for x
    x = 180,122.05/366.18
  6. Step 6: Final answer
    x = 491.89

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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.