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Finding the Fourth Proportional to 817.53, 1,226.31 and 232.47

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Solution

The fourth proportional to 817.53, 1,226.31 and 232.47 is: 348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.53 : 1,226.31 = 232.47 : x
  2. Step 2: Convert to fraction form
    817.53/1,226.31 = 232.47/x
  3. Step 3: Cross multiply
    817.53x = 1,226.31 × 232.47
  4. Step 4: Simplify right side
    817.53x = 285,080.29
  5. Step 5: Solve for x
    x = 285,080.29/817.53
  6. Step 6: Final answer
    x = 348.71

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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.