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Finding the Fourth Proportional to 519.26, 779.05 and 154.06

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Solution

The fourth proportional to 519.26, 779.05 and 154.06 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 779.05 = 154.06 : x
  2. Step 2: Convert to fraction form
    519.26/779.05 = 154.06/x
  3. Step 3: Cross multiply
    519.26x = 779.05 × 154.06
  4. Step 4: Simplify right side
    519.26x = 120,019.67
  5. Step 5: Solve for x
    x = 120,019.67/519.26
  6. Step 6: Final answer
    x = 231.14

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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.