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Finding the Fourth Proportional to 515.27, 772.71 and 319.97

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Solution

The fourth proportional to 515.27, 772.71 and 319.97 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.27 : 772.71 = 319.97 : x
  2. Step 2: Convert to fraction form
    515.27/772.71 = 319.97/x
  3. Step 3: Cross multiply
    515.27x = 772.71 × 319.97
  4. Step 4: Simplify right side
    515.27x = 247,240.16
  5. Step 5: Solve for x
    x = 247,240.16/515.27
  6. Step 6: Final answer
    x = 479.83

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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.