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Finding the Fourth Proportional to 374.41, 516.42 and 226.96

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Solution

The fourth proportional to 374.41, 516.42 and 226.96 is: 313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.41 : 516.42 = 226.96 : x
  2. Step 2: Convert to fraction form
    374.41/516.42 = 226.96/x
  3. Step 3: Cross multiply
    374.41x = 516.42 × 226.96
  4. Step 4: Simplify right side
    374.41x = 117,206.68
  5. Step 5: Solve for x
    x = 117,206.68/374.41
  6. Step 6: Final answer
    x = 313.04

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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.