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Finding the Fourth Proportional to 443.62, 664.80 and 327.15

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Solution

The fourth proportional to 443.62, 664.80 and 327.15 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.62 : 664.80 = 327.15 : x
  2. Step 2: Convert to fraction form
    443.62/664.80 = 327.15/x
  3. Step 3: Cross multiply
    443.62x = 664.80 × 327.15
  4. Step 4: Simplify right side
    443.62x = 217,489.32
  5. Step 5: Solve for x
    x = 217,489.32/443.62
  6. Step 6: Final answer
    x = 490.26

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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.