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Finding the Fourth Proportional to 539.78, 809.97 and 227.39

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Solution

The fourth proportional to 539.78, 809.97 and 227.39 is: 341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 809.97 = 227.39 : x
  2. Step 2: Convert to fraction form
    539.78/809.97 = 227.39/x
  3. Step 3: Cross multiply
    539.78x = 809.97 × 227.39
  4. Step 4: Simplify right side
    539.78x = 184,179.08
  5. Step 5: Solve for x
    x = 184,179.08/539.78
  6. Step 6: Final answer
    x = 341.21

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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.