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Finding the Fourth Proportional to 518.96, 778.42 and 226.42

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Solution

The fourth proportional to 518.96, 778.42 and 226.42 is: 339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 778.42 = 226.42 : x
  2. Step 2: Convert to fraction form
    518.96/778.42 = 226.42/x
  3. Step 3: Cross multiply
    518.96x = 778.42 × 226.42
  4. Step 4: Simplify right side
    518.96x = 176,249.86
  5. Step 5: Solve for x
    x = 176,249.86/518.96
  6. Step 6: Final answer
    x = 339.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.