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Finding the Fourth Proportional to 327.74, 452.32 and 209.82

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Solution

The fourth proportional to 327.74, 452.32 and 209.82 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 452.32 = 209.82 : x
  2. Step 2: Convert to fraction form
    327.74/452.32 = 209.82/x
  3. Step 3: Cross multiply
    327.74x = 452.32 × 209.82
  4. Step 4: Simplify right side
    327.74x = 94,905.78
  5. Step 5: Solve for x
    x = 94,905.78/327.74
  6. Step 6: Final answer
    x = 289.58

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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.