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Finding the Fourth Proportional to 997.60, 1,496.48 and 267.22

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Solution

The fourth proportional to 997.60, 1,496.48 and 267.22 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.60 : 1,496.48 = 267.22 : x
  2. Step 2: Convert to fraction form
    997.60/1,496.48 = 267.22/x
  3. Step 3: Cross multiply
    997.60x = 1,496.48 × 267.22
  4. Step 4: Simplify right side
    997.60x = 399,889.39
  5. Step 5: Solve for x
    x = 399,889.39/997.60
  6. Step 6: Final answer
    x = 400.85

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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.