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Finding the Fourth Proportional to 443.30, 663.38 and 327.48

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Solution

The fourth proportional to 443.30, 663.38 and 327.48 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 663.38 = 327.48 : x
  2. Step 2: Convert to fraction form
    443.30/663.38 = 327.48/x
  3. Step 3: Cross multiply
    443.30x = 663.38 × 327.48
  4. Step 4: Simplify right side
    443.30x = 217,243.68
  5. Step 5: Solve for x
    x = 217,243.68/443.30
  6. Step 6: Final answer
    x = 490.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.