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Finding the Fourth Proportional to 518.98, 778.82 and 275.68

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Solution

The fourth proportional to 518.98, 778.82 and 275.68 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 778.82 = 275.68 : x
  2. Step 2: Convert to fraction form
    518.98/778.82 = 275.68/x
  3. Step 3: Cross multiply
    518.98x = 778.82 × 275.68
  4. Step 4: Simplify right side
    518.98x = 214,705.10
  5. Step 5: Solve for x
    x = 214,705.10/518.98
  6. Step 6: Final answer
    x = 413.71

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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.