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Finding the Fourth Proportional to 515.70, 773.78 and 284.31

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Solution

The fourth proportional to 515.70, 773.78 and 284.31 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.70 : 773.78 = 284.31 : x
  2. Step 2: Convert to fraction form
    515.70/773.78 = 284.31/x
  3. Step 3: Cross multiply
    515.70x = 773.78 × 284.31
  4. Step 4: Simplify right side
    515.70x = 219,991.97
  5. Step 5: Solve for x
    x = 219,991.97/515.70
  6. Step 6: Final answer
    x = 426.59

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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.