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Finding the Fourth Proportional to 539.54, 809.31 and 174.37

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Solution

The fourth proportional to 539.54, 809.31 and 174.37 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 809.31 = 174.37 : x
  2. Step 2: Convert to fraction form
    539.54/809.31 = 174.37/x
  3. Step 3: Cross multiply
    539.54x = 809.31 × 174.37
  4. Step 4: Simplify right side
    539.54x = 141,119.38
  5. Step 5: Solve for x
    x = 141,119.38/539.54
  6. Step 6: Final answer
    x = 261.56

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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.