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Finding the Fourth Proportional to 515.44, 772.44 and 378.55

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Solution

The fourth proportional to 515.44, 772.44 and 378.55 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.44 : 772.44 = 378.55 : x
  2. Step 2: Convert to fraction form
    515.44/772.44 = 378.55/x
  3. Step 3: Cross multiply
    515.44x = 772.44 × 378.55
  4. Step 4: Simplify right side
    515.44x = 292,407.16
  5. Step 5: Solve for x
    x = 292,407.16/515.44
  6. Step 6: Final answer
    x = 567.30

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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.