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Finding the Fourth Proportional to 515.70, 773.55 and 284.54

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Solution

The fourth proportional to 515.70, 773.55 and 284.54 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.70 : 773.55 = 284.54 : x
  2. Step 2: Convert to fraction form
    515.70/773.55 = 284.54/x
  3. Step 3: Cross multiply
    515.70x = 773.55 × 284.54
  4. Step 4: Simplify right side
    515.70x = 220,105.92
  5. Step 5: Solve for x
    x = 220,105.92/515.70
  6. Step 6: Final answer
    x = 426.81

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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.