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Finding the Fourth Proportional to 327.78, 490.86 and 205.74

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Solution

The fourth proportional to 327.78, 490.86 and 205.74 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 490.86 = 205.74 : x
  2. Step 2: Convert to fraction form
    327.78/490.86 = 205.74/x
  3. Step 3: Cross multiply
    327.78x = 490.86 × 205.74
  4. Step 4: Simplify right side
    327.78x = 100,989.54
  5. Step 5: Solve for x
    x = 100,989.54/327.78
  6. Step 6: Final answer
    x = 308.10

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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.