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Finding the Fourth Proportional to 374.11, 516.30 and 226.78

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Solution

The fourth proportional to 374.11, 516.30 and 226.78 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.11 : 516.30 = 226.78 : x
  2. Step 2: Convert to fraction form
    374.11/516.30 = 226.78/x
  3. Step 3: Cross multiply
    374.11x = 516.30 × 226.78
  4. Step 4: Simplify right side
    374.11x = 117,086.51
  5. Step 5: Solve for x
    x = 117,086.51/374.11
  6. Step 6: Final answer
    x = 312.97

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Why These Related Problems?

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