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Finding the Fourth Proportional to 327.75, 452.37 and 203.42

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Solution

The fourth proportional to 327.75, 452.37 and 203.42 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 452.37 = 203.42 : x
  2. Step 2: Convert to fraction form
    327.75/452.37 = 203.42/x
  3. Step 3: Cross multiply
    327.75x = 452.37 × 203.42
  4. Step 4: Simplify right side
    327.75x = 92,018.84
  5. Step 5: Solve for x
    x = 92,018.84/327.75
  6. Step 6: Final answer
    x = 280.76

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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.