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Finding the Fourth Proportional to 327.24, 452.28 and 286.23

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Solution

The fourth proportional to 327.24, 452.28 and 286.23 is: 395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 452.28 = 286.23 : x
  2. Step 2: Convert to fraction form
    327.24/452.28 = 286.23/x
  3. Step 3: Cross multiply
    327.24x = 452.28 × 286.23
  4. Step 4: Simplify right side
    327.24x = 129,458.87
  5. Step 5: Solve for x
    x = 129,458.87/327.24
  6. Step 6: Final answer
    x = 395.61

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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.