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Finding the Fourth Proportional to 537.74, 806.37 and 249.26

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Solution

The fourth proportional to 537.74, 806.37 and 249.26 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.74 : 806.37 = 249.26 : x
  2. Step 2: Convert to fraction form
    537.74/806.37 = 249.26/x
  3. Step 3: Cross multiply
    537.74x = 806.37 × 249.26
  4. Step 4: Simplify right side
    537.74x = 200,995.79
  5. Step 5: Solve for x
    x = 200,995.79/537.74
  6. Step 6: Final answer
    x = 373.78

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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.