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Finding the Fourth Proportional to 378.38, 566.67 and 262.94

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Solution

The fourth proportional to 378.38, 566.67 and 262.94 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 566.67 = 262.94 : x
  2. Step 2: Convert to fraction form
    378.38/566.67 = 262.94/x
  3. Step 3: Cross multiply
    378.38x = 566.67 × 262.94
  4. Step 4: Simplify right side
    378.38x = 149,000.21
  5. Step 5: Solve for x
    x = 149,000.21/378.38
  6. Step 6: Final answer
    x = 393.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.