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Finding the Fourth Proportional to 441.42, 608.58 and 379.91

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Solution

The fourth proportional to 441.42, 608.58 and 379.91 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.42 : 608.58 = 379.91 : x
  2. Step 2: Convert to fraction form
    441.42/608.58 = 379.91/x
  3. Step 3: Cross multiply
    441.42x = 608.58 × 379.91
  4. Step 4: Simplify right side
    441.42x = 231,205.63
  5. Step 5: Solve for x
    x = 231,205.63/441.42
  6. Step 6: Final answer
    x = 523.78

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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.