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Finding the Fourth Proportional to 539.94, 809.38 and 174.48

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Solution

The fourth proportional to 539.94, 809.38 and 174.48 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 809.38 = 174.48 : x
  2. Step 2: Convert to fraction form
    539.94/809.38 = 174.48/x
  3. Step 3: Cross multiply
    539.94x = 809.38 × 174.48
  4. Step 4: Simplify right side
    539.94x = 141,217.81
  5. Step 5: Solve for x
    x = 141,217.81/539.94
  6. Step 6: Final answer
    x = 261.54

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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.