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Finding the Fourth Proportional to 374.31, 516.53 and 234.50

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Solution

The fourth proportional to 374.31, 516.53 and 234.50 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.31 : 516.53 = 234.50 : x
  2. Step 2: Convert to fraction form
    374.31/516.53 = 234.50/x
  3. Step 3: Cross multiply
    374.31x = 516.53 × 234.50
  4. Step 4: Simplify right side
    374.31x = 121,124.29
  5. Step 5: Solve for x
    x = 121,124.29/374.31
  6. Step 6: Final answer
    x = 323.59

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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.