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Finding the Fourth Proportional to 951.97, 1,427.72 and 327.19

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Solution

The fourth proportional to 951.97, 1,427.72 and 327.19 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.97 : 1,427.72 = 327.19 : x
  2. Step 2: Convert to fraction form
    951.97/1,427.72 = 327.19/x
  3. Step 3: Cross multiply
    951.97x = 1,427.72 × 327.19
  4. Step 4: Simplify right side
    951.97x = 467,136.36
  5. Step 5: Solve for x
    x = 467,136.36/951.97
  6. Step 6: Final answer
    x = 490.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.