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Finding the Fourth Proportional to 518.92, 778.77 and 382.34

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Solution

The fourth proportional to 518.92, 778.77 and 382.34 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 778.77 = 382.34 : x
  2. Step 2: Convert to fraction form
    518.92/778.77 = 382.34/x
  3. Step 3: Cross multiply
    518.92x = 778.77 × 382.34
  4. Step 4: Simplify right side
    518.92x = 297,756.87
  5. Step 5: Solve for x
    x = 297,756.87/518.92
  6. Step 6: Final answer
    x = 573.80

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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.