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Finding the Fourth Proportional to 294.48, 441.73 and 226.83

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Solution

The fourth proportional to 294.48, 441.73 and 226.83 is: 340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 441.73 = 226.83 : x
  2. Step 2: Convert to fraction form
    294.48/441.73 = 226.83/x
  3. Step 3: Cross multiply
    294.48x = 441.73 × 226.83
  4. Step 4: Simplify right side
    294.48x = 100,197.62
  5. Step 5: Solve for x
    x = 100,197.62/294.48
  6. Step 6: Final answer
    x = 340.25

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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.