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Finding the Fourth Proportional to 852.44, 1,278.72 and 267.44

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Solution

The fourth proportional to 852.44, 1,278.72 and 267.44 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.44 : 1,278.72 = 267.44 : x
  2. Step 2: Convert to fraction form
    852.44/1,278.72 = 267.44/x
  3. Step 3: Cross multiply
    852.44x = 1,278.72 × 267.44
  4. Step 4: Simplify right side
    852.44x = 341,974.48
  5. Step 5: Solve for x
    x = 341,974.48/852.44
  6. Step 6: Final answer
    x = 401.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.