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Finding the Fourth Proportional to 519.46, 779.30 and 194.88

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Solution

The fourth proportional to 519.46, 779.30 and 194.88 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 779.30 = 194.88 : x
  2. Step 2: Convert to fraction form
    519.46/779.30 = 194.88/x
  3. Step 3: Cross multiply
    519.46x = 779.30 × 194.88
  4. Step 4: Simplify right side
    519.46x = 151,869.98
  5. Step 5: Solve for x
    x = 151,869.98/519.46
  6. Step 6: Final answer
    x = 292.36

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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.