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Finding the Fourth Proportional to 327.97, 452.44 and 209.97

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Solution

The fourth proportional to 327.97, 452.44 and 209.97 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.97 : 452.44 = 209.97 : x
  2. Step 2: Convert to fraction form
    327.97/452.44 = 209.97/x
  3. Step 3: Cross multiply
    327.97x = 452.44 × 209.97
  4. Step 4: Simplify right side
    327.97x = 94,996.64
  5. Step 5: Solve for x
    x = 94,996.64/327.97
  6. Step 6: Final answer
    x = 289.65

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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.