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Finding the Fourth Proportional to 334.60, 500.82 and 226

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Solution

The fourth proportional to 334.60, 500.82 and 226 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 500.82 = 226 : x
  2. Step 2: Convert to fraction form
    334.60/500.82 = 226/x
  3. Step 3: Cross multiply
    334.60x = 500.82 × 226
  4. Step 4: Simplify right side
    334.60x = 113,185.32
  5. Step 5: Solve for x
    x = 113,185.32/334.60
  6. Step 6: Final answer
    x = 338.27

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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.