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Finding the Fourth Proportional to 739.41, 1,109.10 and 226.41

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Solution

The fourth proportional to 739.41, 1,109.10 and 226.41 is: 339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.41 : 1,109.10 = 226.41 : x
  2. Step 2: Convert to fraction form
    739.41/1,109.10 = 226.41/x
  3. Step 3: Cross multiply
    739.41x = 1,109.10 × 226.41
  4. Step 4: Simplify right side
    739.41x = 251,111.33
  5. Step 5: Solve for x
    x = 251,111.33/739.41
  6. Step 6: Final answer
    x = 339.61

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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.