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Finding the Fourth Proportional to 518.11, 776.96 and 205.65

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Solution

The fourth proportional to 518.11, 776.96 and 205.65 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 776.96 = 205.65 : x
  2. Step 2: Convert to fraction form
    518.11/776.96 = 205.65/x
  3. Step 3: Cross multiply
    518.11x = 776.96 × 205.65
  4. Step 4: Simplify right side
    518.11x = 159,781.57
  5. Step 5: Solve for x
    x = 159,781.57/518.11
  6. Step 6: Final answer
    x = 308.39

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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.