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Finding the Fourth Proportional to 515.96, 772.26 and 378.97

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Solution

The fourth proportional to 515.96, 772.26 and 378.97 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 772.26 = 378.97 : x
  2. Step 2: Convert to fraction form
    515.96/772.26 = 378.97/x
  3. Step 3: Cross multiply
    515.96x = 772.26 × 378.97
  4. Step 4: Simplify right side
    515.96x = 292,663.37
  5. Step 5: Solve for x
    x = 292,663.37/515.96
  6. Step 6: Final answer
    x = 567.23

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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.