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Finding the Fourth Proportional to 443.05, 611.48 and 277.27

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Solution

The fourth proportional to 443.05, 611.48 and 277.27 is: 382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 611.48 = 277.27 : x
  2. Step 2: Convert to fraction form
    443.05/611.48 = 277.27/x
  3. Step 3: Cross multiply
    443.05x = 611.48 × 277.27
  4. Step 4: Simplify right side
    443.05x = 169,540.62
  5. Step 5: Solve for x
    x = 169,540.62/443.05
  6. Step 6: Final answer
    x = 382.67

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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.