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Finding the Fourth Proportional to 309.56, 426.06 and 226.53

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Solution

The fourth proportional to 309.56, 426.06 and 226.53 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 426.06 = 226.53 : x
  2. Step 2: Convert to fraction form
    309.56/426.06 = 226.53/x
  3. Step 3: Cross multiply
    309.56x = 426.06 × 226.53
  4. Step 4: Simplify right side
    309.56x = 96,515.37
  5. Step 5: Solve for x
    x = 96,515.37/309.56
  6. Step 6: Final answer
    x = 311.79

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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.