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Finding the Fourth Proportional to 327.62, 452.14 and 203.28

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Solution

The fourth proportional to 327.62, 452.14 and 203.28 is: 280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.62 : 452.14 = 203.28 : x
  2. Step 2: Convert to fraction form
    327.62/452.14 = 203.28/x
  3. Step 3: Cross multiply
    327.62x = 452.14 × 203.28
  4. Step 4: Simplify right side
    327.62x = 91,911.02
  5. Step 5: Solve for x
    x = 91,911.02/327.62
  6. Step 6: Final answer
    x = 280.54

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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.