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Finding the Fourth Proportional to 884.24, 1,325.97 and 267.80

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Solution

The fourth proportional to 884.24, 1,325.97 and 267.80 is: 401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.24 : 1,325.97 = 267.80 : x
  2. Step 2: Convert to fraction form
    884.24/1,325.97 = 267.80/x
  3. Step 3: Cross multiply
    884.24x = 1,325.97 × 267.80
  4. Step 4: Simplify right side
    884.24x = 355,094.77
  5. Step 5: Solve for x
    x = 355,094.77/884.24
  6. Step 6: Final answer
    x = 401.58

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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.