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Finding the Fourth Proportional to 374.27, 516.74 and 234.54

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Solution

The fourth proportional to 374.27, 516.74 and 234.54 is: 323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.27 : 516.74 = 234.54 : x
  2. Step 2: Convert to fraction form
    374.27/516.74 = 234.54/x
  3. Step 3: Cross multiply
    374.27x = 516.74 × 234.54
  4. Step 4: Simplify right side
    374.27x = 121,195.03
  5. Step 5: Solve for x
    x = 121,195.03/374.27
  6. Step 6: Final answer
    x = 323.82

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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.