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Finding the Fourth Proportional to 519.32, 779.12 and 190.29

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Solution

The fourth proportional to 519.32, 779.12 and 190.29 is: 285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 779.12 = 190.29 : x
  2. Step 2: Convert to fraction form
    519.32/779.12 = 190.29/x
  3. Step 3: Cross multiply
    519.32x = 779.12 × 190.29
  4. Step 4: Simplify right side
    519.32x = 148,257.79
  5. Step 5: Solve for x
    x = 148,257.79/519.32
  6. Step 6: Final answer
    x = 285.49

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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.