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Finding the Fourth Proportional to 309.46, 426.63 and 226.57

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Solution

The fourth proportional to 309.46, 426.63 and 226.57 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 426.63 = 226.57 : x
  2. Step 2: Convert to fraction form
    309.46/426.63 = 226.57/x
  3. Step 3: Cross multiply
    309.46x = 426.63 × 226.57
  4. Step 4: Simplify right side
    309.46x = 96,661.56
  5. Step 5: Solve for x
    x = 96,661.56/309.46
  6. Step 6: Final answer
    x = 312.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.