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Finding the Fourth Proportional to 442.67, 663.26 and 327.15

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Solution

The fourth proportional to 442.67, 663.26 and 327.15 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.67 : 663.26 = 327.15 : x
  2. Step 2: Convert to fraction form
    442.67/663.26 = 327.15/x
  3. Step 3: Cross multiply
    442.67x = 663.26 × 327.15
  4. Step 4: Simplify right side
    442.67x = 216,983.87
  5. Step 5: Solve for x
    x = 216,983.87/442.67
  6. Step 6: Final answer
    x = 490.18

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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.