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Finding the Fourth Proportional to 539.68, 809.62 and 174.46

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Solution

The fourth proportional to 539.68, 809.62 and 174.46 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 809.62 = 174.46 : x
  2. Step 2: Convert to fraction form
    539.68/809.62 = 174.46/x
  3. Step 3: Cross multiply
    539.68x = 809.62 × 174.46
  4. Step 4: Simplify right side
    539.68x = 141,246.31
  5. Step 5: Solve for x
    x = 141,246.31/539.68
  6. Step 6: Final answer
    x = 261.72

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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.