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Finding the Fourth Proportional to 443.05, 663.96 and 422.39

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Solution

The fourth proportional to 443.05, 663.96 and 422.39 is: 633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 663.96 = 422.39 : x
  2. Step 2: Convert to fraction form
    443.05/663.96 = 422.39/x
  3. Step 3: Cross multiply
    443.05x = 663.96 × 422.39
  4. Step 4: Simplify right side
    443.05x = 280,450.06
  5. Step 5: Solve for x
    x = 280,450.06/443.05
  6. Step 6: Final answer
    x = 633.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.