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Finding the Fourth Proportional to 515.19, 772.07 and 378.30

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Solution

The fourth proportional to 515.19, 772.07 and 378.30 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.19 : 772.07 = 378.30 : x
  2. Step 2: Convert to fraction form
    515.19/772.07 = 378.30/x
  3. Step 3: Cross multiply
    515.19x = 772.07 × 378.30
  4. Step 4: Simplify right side
    515.19x = 292,072.19
  5. Step 5: Solve for x
    x = 292,072.19/515.19
  6. Step 6: Final answer
    x = 566.92

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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.