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Finding the Fourth Proportional to 374.13, 516.24 and 226.77

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Solution

The fourth proportional to 374.13, 516.24 and 226.77 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.13 : 516.24 = 226.77 : x
  2. Step 2: Convert to fraction form
    374.13/516.24 = 226.77/x
  3. Step 3: Cross multiply
    374.13x = 516.24 × 226.77
  4. Step 4: Simplify right side
    374.13x = 117,067.74
  5. Step 5: Solve for x
    x = 117,067.74/374.13
  6. Step 6: Final answer
    x = 312.91

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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.