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Finding the Fourth Proportional to 519.94, 780.05 and 195.31

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Solution

The fourth proportional to 519.94, 780.05 and 195.31 is: 293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 780.05 = 195.31 : x
  2. Step 2: Convert to fraction form
    519.94/780.05 = 195.31/x
  3. Step 3: Cross multiply
    519.94x = 780.05 × 195.31
  4. Step 4: Simplify right side
    519.94x = 152,351.57
  5. Step 5: Solve for x
    x = 152,351.57/519.94
  6. Step 6: Final answer
    x = 293.02

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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.