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Finding the Fourth Proportional to 515.43, 773.19 and 190.74

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Solution

The fourth proportional to 515.43, 773.19 and 190.74 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 773.19 = 190.74 : x
  2. Step 2: Convert to fraction form
    515.43/773.19 = 190.74/x
  3. Step 3: Cross multiply
    515.43x = 773.19 × 190.74
  4. Step 4: Simplify right side
    515.43x = 147,478.26
  5. Step 5: Solve for x
    x = 147,478.26/515.43
  6. Step 6: Final answer
    x = 286.13

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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.