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Finding the Fourth Proportional to 997.41, 1,495.99 and 267.04

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Solution

The fourth proportional to 997.41, 1,495.99 and 267.04 is: 400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,495.99 = 267.04 : x
  2. Step 2: Convert to fraction form
    997.41/1,495.99 = 267.04/x
  3. Step 3: Cross multiply
    997.41x = 1,495.99 × 267.04
  4. Step 4: Simplify right side
    997.41x = 399,489.17
  5. Step 5: Solve for x
    x = 399,489.17/997.41
  6. Step 6: Final answer
    x = 400.53

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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.