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Finding the Fourth Proportional to 374.34, 516.38 and 234.42

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Solution

The fourth proportional to 374.34, 516.38 and 234.42 is: 323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.34 : 516.38 = 234.42 : x
  2. Step 2: Convert to fraction form
    374.34/516.38 = 234.42/x
  3. Step 3: Cross multiply
    374.34x = 516.38 × 234.42
  4. Step 4: Simplify right side
    374.34x = 121,048.63
  5. Step 5: Solve for x
    x = 121,048.63/374.34
  6. Step 6: Final answer
    x = 323.37

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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.