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Finding the Fourth Proportional to 519.26, 778.64 and 194.42

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Solution

The fourth proportional to 519.26, 778.64 and 194.42 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 778.64 = 194.42 : x
  2. Step 2: Convert to fraction form
    519.26/778.64 = 194.42/x
  3. Step 3: Cross multiply
    519.26x = 778.64 × 194.42
  4. Step 4: Simplify right side
    519.26x = 151,383.19
  5. Step 5: Solve for x
    x = 151,383.19/519.26
  6. Step 6: Final answer
    x = 291.54

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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.