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Finding the Fourth Proportional to 515.26, 773.27 and 378.66

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Solution

The fourth proportional to 515.26, 773.27 and 378.66 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.26 : 773.27 = 378.66 : x
  2. Step 2: Convert to fraction form
    515.26/773.27 = 378.66/x
  3. Step 3: Cross multiply
    515.26x = 773.27 × 378.66
  4. Step 4: Simplify right side
    515.26x = 292,806.42
  5. Step 5: Solve for x
    x = 292,806.42/515.26
  6. Step 6: Final answer
    x = 568.27

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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.