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Finding the Fourth Proportional to 515.82, 773.81 and 150.57

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Solution

The fourth proportional to 515.82, 773.81 and 150.57 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.82 : 773.81 = 150.57 : x
  2. Step 2: Convert to fraction form
    515.82/773.81 = 150.57/x
  3. Step 3: Cross multiply
    515.82x = 773.81 × 150.57
  4. Step 4: Simplify right side
    515.82x = 116,512.57
  5. Step 5: Solve for x
    x = 116,512.57/515.82
  6. Step 6: Final answer
    x = 225.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.