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Finding the Fourth Proportional to 443.14, 665.43 and 273.22

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Solution

The fourth proportional to 443.14, 665.43 and 273.22 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.14 : 665.43 = 273.22 : x
  2. Step 2: Convert to fraction form
    443.14/665.43 = 273.22/x
  3. Step 3: Cross multiply
    443.14x = 665.43 × 273.22
  4. Step 4: Simplify right side
    443.14x = 181,808.78
  5. Step 5: Solve for x
    x = 181,808.78/443.14
  6. Step 6: Final answer
    x = 410.27

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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.