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Finding the Fourth Proportional to 330.38, 494.67 and 262.34

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Solution

The fourth proportional to 330.38, 494.67 and 262.34 is: 392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 494.67 = 262.34 : x
  2. Step 2: Convert to fraction form
    330.38/494.67 = 262.34/x
  3. Step 3: Cross multiply
    330.38x = 494.67 × 262.34
  4. Step 4: Simplify right side
    330.38x = 129,771.73
  5. Step 5: Solve for x
    x = 129,771.73/330.38
  6. Step 6: Final answer
    x = 392.80

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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.