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Finding the Fourth Proportional to 443.15, 611.51 and 338.30

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Solution

The fourth proportional to 443.15, 611.51 and 338.30 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.15 : 611.51 = 338.30 : x
  2. Step 2: Convert to fraction form
    443.15/611.51 = 338.30/x
  3. Step 3: Cross multiply
    443.15x = 611.51 × 338.30
  4. Step 4: Simplify right side
    443.15x = 206,872.14
  5. Step 5: Solve for x
    x = 206,872.14/443.15
  6. Step 6: Final answer
    x = 466.83

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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.