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Finding the Fourth Proportional to 998.41, 1,497.61 and 267.92

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Solution

The fourth proportional to 998.41, 1,497.61 and 267.92 is: 401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.41 : 1,497.61 = 267.92 : x
  2. Step 2: Convert to fraction form
    998.41/1,497.61 = 267.92/x
  3. Step 3: Cross multiply
    998.41x = 1,497.61 × 267.92
  4. Step 4: Simplify right side
    998.41x = 401,246.56
  5. Step 5: Solve for x
    x = 401,246.56/998.41
  6. Step 6: Final answer
    x = 401.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.