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Finding the Fourth Proportional to 518.75, 778.84 and 268.77

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Solution

The fourth proportional to 518.75, 778.84 and 268.77 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 778.84 = 268.77 : x
  2. Step 2: Convert to fraction form
    518.75/778.84 = 268.77/x
  3. Step 3: Cross multiply
    518.75x = 778.84 × 268.77
  4. Step 4: Simplify right side
    518.75x = 209,328.83
  5. Step 5: Solve for x
    x = 209,328.83/518.75
  6. Step 6: Final answer
    x = 403.53

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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.