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Finding the Fourth Proportional to 519.37, 778.79 and 185.70

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Solution

The fourth proportional to 519.37, 778.79 and 185.70 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.37 : 778.79 = 185.70 : x
  2. Step 2: Convert to fraction form
    519.37/778.79 = 185.70/x
  3. Step 3: Cross multiply
    519.37x = 778.79 × 185.70
  4. Step 4: Simplify right side
    519.37x = 144,621.30
  5. Step 5: Solve for x
    x = 144,621.30/519.37
  6. Step 6: Final answer
    x = 278.46

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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.