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Finding the Fourth Proportional to 519.56, 779.39 and 173.12

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Solution

The fourth proportional to 519.56, 779.39 and 173.12 is: 259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 779.39 = 173.12 : x
  2. Step 2: Convert to fraction form
    519.56/779.39 = 173.12/x
  3. Step 3: Cross multiply
    519.56x = 779.39 × 173.12
  4. Step 4: Simplify right side
    519.56x = 134,923.23
  5. Step 5: Solve for x
    x = 134,923.23/519.56
  6. Step 6: Final answer
    x = 259.69

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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.