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Finding the Fourth Proportional to 817.43, 1,226.21 and 232.47

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Solution

The fourth proportional to 817.43, 1,226.21 and 232.47 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.43 : 1,226.21 = 232.47 : x
  2. Step 2: Convert to fraction form
    817.43/1,226.21 = 232.47/x
  3. Step 3: Cross multiply
    817.43x = 1,226.21 × 232.47
  4. Step 4: Simplify right side
    817.43x = 285,055.88
  5. Step 5: Solve for x
    x = 285,055.88/817.43
  6. Step 6: Final answer
    x = 348.72

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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.