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Finding the Fourth Proportional to 539.90, 809.85 and 174.69

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Solution

The fourth proportional to 539.90, 809.85 and 174.69 is: 262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.90 : 809.85 = 174.69 : x
  2. Step 2: Convert to fraction form
    539.90/809.85 = 174.69/x
  3. Step 3: Cross multiply
    539.90x = 809.85 × 174.69
  4. Step 4: Simplify right side
    539.90x = 141,472.37
  5. Step 5: Solve for x
    x = 141,472.37/539.90
  6. Step 6: Final answer
    x = 262.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.