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Finding the Fourth Proportional to 518.70, 778.44 and 323.99

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Solution

The fourth proportional to 518.70, 778.44 and 323.99 is: 486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.70 : 778.44 = 323.99 : x
  2. Step 2: Convert to fraction form
    518.70/778.44 = 323.99/x
  3. Step 3: Cross multiply
    518.70x = 778.44 × 323.99
  4. Step 4: Simplify right side
    518.70x = 252,201.26
  5. Step 5: Solve for x
    x = 252,201.26/518.70
  6. Step 6: Final answer
    x = 486.22

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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.