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Finding the Fourth Proportional to 327.82, 452.54 and 209.96

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Solution

The fourth proportional to 327.82, 452.54 and 209.96 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 452.54 = 209.96 : x
  2. Step 2: Convert to fraction form
    327.82/452.54 = 209.96/x
  3. Step 3: Cross multiply
    327.82x = 452.54 × 209.96
  4. Step 4: Simplify right side
    327.82x = 95,015.30
  5. Step 5: Solve for x
    x = 95,015.30/327.82
  6. Step 6: Final answer
    x = 289.84

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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.