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Finding the Fourth Proportional to 845, 1,267.46 and 267.80

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Solution

The fourth proportional to 845, 1,267.46 and 267.80 is: 401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    845 : 1,267.46 = 267.80 : x
  2. Step 2: Convert to fraction form
    845/1,267.46 = 267.80/x
  3. Step 3: Cross multiply
    845x = 1,267.46 × 267.80
  4. Step 4: Simplify right side
    845x = 339,425.79
  5. Step 5: Solve for x
    x = 339,425.79/845
  6. Step 6: Final answer
    x = 401.69

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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.