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Finding the Fourth Proportional to 412.11, 617.22 and 267.39

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Solution

The fourth proportional to 412.11, 617.22 and 267.39 is: 400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 617.22 = 267.39 : x
  2. Step 2: Convert to fraction form
    412.11/617.22 = 267.39/x
  3. Step 3: Cross multiply
    412.11x = 617.22 × 267.39
  4. Step 4: Simplify right side
    412.11x = 165,038.46
  5. Step 5: Solve for x
    x = 165,038.46/412.11
  6. Step 6: Final answer
    x = 400.47

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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.