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Finding the Fourth Proportional to 327.26, 452.50 and 286.27

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Solution

The fourth proportional to 327.26, 452.50 and 286.27 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 452.50 = 286.27 : x
  2. Step 2: Convert to fraction form
    327.26/452.50 = 286.27/x
  3. Step 3: Cross multiply
    327.26x = 452.50 × 286.27
  4. Step 4: Simplify right side
    327.26x = 129,535.33
  5. Step 5: Solve for x
    x = 129,535.33/327.26
  6. Step 6: Final answer
    x = 395.81

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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.