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Finding the Fourth Proportional to 327.86, 452.42 and 203.58

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Solution

The fourth proportional to 327.86, 452.42 and 203.58 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 452.42 = 203.58 : x
  2. Step 2: Convert to fraction form
    327.86/452.42 = 203.58/x
  3. Step 3: Cross multiply
    327.86x = 452.42 × 203.58
  4. Step 4: Simplify right side
    327.86x = 92,103.66
  5. Step 5: Solve for x
    x = 92,103.66/327.86
  6. Step 6: Final answer
    x = 280.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.