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Finding the Fourth Proportional to 379.62, 523.11 and 274.37

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Solution

The fourth proportional to 379.62, 523.11 and 274.37 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.62 : 523.11 = 274.37 : x
  2. Step 2: Convert to fraction form
    379.62/523.11 = 274.37/x
  3. Step 3: Cross multiply
    379.62x = 523.11 × 274.37
  4. Step 4: Simplify right side
    379.62x = 143,525.69
  5. Step 5: Solve for x
    x = 143,525.69/379.62
  6. Step 6: Final answer
    x = 378.08

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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.