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Finding the Fourth Proportional to 746.27, 1,119.42 and 226.28

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Solution

The fourth proportional to 746.27, 1,119.42 and 226.28 is: 339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.27 : 1,119.42 = 226.28 : x
  2. Step 2: Convert to fraction form
    746.27/1,119.42 = 226.28/x
  3. Step 3: Cross multiply
    746.27x = 1,119.42 × 226.28
  4. Step 4: Simplify right side
    746.27x = 253,295.63
  5. Step 5: Solve for x
    x = 253,295.63/746.27
  6. Step 6: Final answer
    x = 339.42

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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.