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Finding the Fourth Proportional to 539.06, 808.49 and 173.88

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Solution

The fourth proportional to 539.06, 808.49 and 173.88 is: 260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 808.49 = 173.88 : x
  2. Step 2: Convert to fraction form
    539.06/808.49 = 173.88/x
  3. Step 3: Cross multiply
    539.06x = 808.49 × 173.88
  4. Step 4: Simplify right side
    539.06x = 140,579.37
  5. Step 5: Solve for x
    x = 140,579.37/539.06
  6. Step 6: Final answer
    x = 260.79

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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.