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Finding the Fourth Proportional to 382.37, 527.09 and 234.74

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Solution

The fourth proportional to 382.37, 527.09 and 234.74 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.37 : 527.09 = 234.74 : x
  2. Step 2: Convert to fraction form
    382.37/527.09 = 234.74/x
  3. Step 3: Cross multiply
    382.37x = 527.09 × 234.74
  4. Step 4: Simplify right side
    382.37x = 123,729.25
  5. Step 5: Solve for x
    x = 123,729.25/382.37
  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.