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Finding the Fourth Proportional to 997.33, 1,496.01 and 266.90

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Solution

The fourth proportional to 997.33, 1,496.01 and 266.90 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.33 : 1,496.01 = 266.90 : x
  2. Step 2: Convert to fraction form
    997.33/1,496.01 = 266.90/x
  3. Step 3: Cross multiply
    997.33x = 1,496.01 × 266.90
  4. Step 4: Simplify right side
    997.33x = 399,283.73
  5. Step 5: Solve for x
    x = 399,283.73/997.33
  6. Step 6: Final answer
    x = 400.35

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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.