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Finding the Fourth Proportional to 540.09, 809.43 and 247.49

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Solution

The fourth proportional to 540.09, 809.43 and 247.49 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.09 : 809.43 = 247.49 : x
  2. Step 2: Convert to fraction form
    540.09/809.43 = 247.49/x
  3. Step 3: Cross multiply
    540.09x = 809.43 × 247.49
  4. Step 4: Simplify right side
    540.09x = 200,321.78
  5. Step 5: Solve for x
    x = 200,321.78/540.09
  6. Step 6: Final answer
    x = 370.90

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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.