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Finding the Fourth Proportional to 443.40, 664.62 and 351.96

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Solution

The fourth proportional to 443.40, 664.62 and 351.96 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.40 : 664.62 = 351.96 : x
  2. Step 2: Convert to fraction form
    443.40/664.62 = 351.96/x
  3. Step 3: Cross multiply
    443.40x = 664.62 × 351.96
  4. Step 4: Simplify right side
    443.40x = 233,919.66
  5. Step 5: Solve for x
    x = 233,919.66/443.40
  6. Step 6: Final answer
    x = 527.56

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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.