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Finding the Fourth Proportional to 327.80, 452.61 and 249.26

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Solution

The fourth proportional to 327.80, 452.61 and 249.26 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 452.61 = 249.26 : x
  2. Step 2: Convert to fraction form
    327.80/452.61 = 249.26/x
  3. Step 3: Cross multiply
    327.80x = 452.61 × 249.26
  4. Step 4: Simplify right side
    327.80x = 112,815.31
  5. Step 5: Solve for x
    x = 112,815.31/327.80
  6. Step 6: Final answer
    x = 344.16

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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.