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Finding the Fourth Proportional to 378.20, 565.98 and 327.44

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Solution

The fourth proportional to 378.20, 565.98 and 327.44 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 565.98 = 327.44 : x
  2. Step 2: Convert to fraction form
    378.20/565.98 = 327.44/x
  3. Step 3: Cross multiply
    378.20x = 565.98 × 327.44
  4. Step 4: Simplify right side
    378.20x = 185,324.49
  5. Step 5: Solve for x
    x = 185,324.49/378.20
  6. Step 6: Final answer
    x = 490.02

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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.