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Finding the Fourth Proportional to 519.41, 778.56 and 172.65

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Solution

The fourth proportional to 519.41, 778.56 and 172.65 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.41 : 778.56 = 172.65 : x
  2. Step 2: Convert to fraction form
    519.41/778.56 = 172.65/x
  3. Step 3: Cross multiply
    519.41x = 778.56 × 172.65
  4. Step 4: Simplify right side
    519.41x = 134,418.38
  5. Step 5: Solve for x
    x = 134,418.38/519.41
  6. Step 6: Final answer
    x = 258.79

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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.