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Finding the Fourth Proportional to 519.54, 779.10 and 194.70

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Solution

The fourth proportional to 519.54, 779.10 and 194.70 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 779.10 = 194.70 : x
  2. Step 2: Convert to fraction form
    519.54/779.10 = 194.70/x
  3. Step 3: Cross multiply
    519.54x = 779.10 × 194.70
  4. Step 4: Simplify right side
    519.54x = 151,690.77
  5. Step 5: Solve for x
    x = 151,690.77/519.54
  6. Step 6: Final answer
    x = 291.97

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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.