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Finding the Fourth Proportional to 920.03, 1,380.17 and 270.83

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Solution

The fourth proportional to 920.03, 1,380.17 and 270.83 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.03 : 1,380.17 = 270.83 : x
  2. Step 2: Convert to fraction form
    920.03/1,380.17 = 270.83/x
  3. Step 3: Cross multiply
    920.03x = 1,380.17 × 270.83
  4. Step 4: Simplify right side
    920.03x = 373,791.44
  5. Step 5: Solve for x
    x = 373,791.44/920.03
  6. Step 6: Final answer
    x = 406.28

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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.