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Finding the Fourth Proportional to 515.99, 773.92 and 207.83

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Solution

The fourth proportional to 515.99, 773.92 and 207.83 is: 311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.99 : 773.92 = 207.83 : x
  2. Step 2: Convert to fraction form
    515.99/773.92 = 207.83/x
  3. Step 3: Cross multiply
    515.99x = 773.92 × 207.83
  4. Step 4: Simplify right side
    515.99x = 160,843.79
  5. Step 5: Solve for x
    x = 160,843.79/515.99
  6. Step 6: Final answer
    x = 311.72

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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.