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Finding the Fourth Proportional to 515.85, 773.79 and 207.85

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Solution

The fourth proportional to 515.85, 773.79 and 207.85 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 773.79 = 207.85 : x
  2. Step 2: Convert to fraction form
    515.85/773.79 = 207.85/x
  3. Step 3: Cross multiply
    515.85x = 773.79 × 207.85
  4. Step 4: Simplify right side
    515.85x = 160,832.25
  5. Step 5: Solve for x
    x = 160,832.25/515.85
  6. Step 6: Final answer
    x = 311.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.