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Finding the Fourth Proportional to 381.67, 526.67 and 234.27

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Solution

The fourth proportional to 381.67, 526.67 and 234.27 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.67 : 526.67 = 234.27 : x
  2. Step 2: Convert to fraction form
    381.67/526.67 = 234.27/x
  3. Step 3: Cross multiply
    381.67x = 526.67 × 234.27
  4. Step 4: Simplify right side
    381.67x = 123,382.98
  5. Step 5: Solve for x
    x = 123,382.98/381.67
  6. Step 6: Final answer
    x = 323.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.