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Finding the Fourth Proportional to 515.84, 773.07 and 447.04

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Solution

The fourth proportional to 515.84, 773.07 and 447.04 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 773.07 = 447.04 : x
  2. Step 2: Convert to fraction form
    515.84/773.07 = 447.04/x
  3. Step 3: Cross multiply
    515.84x = 773.07 × 447.04
  4. Step 4: Simplify right side
    515.84x = 345,589.75
  5. Step 5: Solve for x
    x = 345,589.75/515.84
  6. Step 6: Final answer
    x = 669.96

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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.