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Finding the Fourth Proportional to 884.48, 1,327.17 and 422.16

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Solution

The fourth proportional to 884.48, 1,327.17 and 422.16 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.48 : 1,327.17 = 422.16 : x
  2. Step 2: Convert to fraction form
    884.48/1,327.17 = 422.16/x
  3. Step 3: Cross multiply
    884.48x = 1,327.17 × 422.16
  4. Step 4: Simplify right side
    884.48x = 560,278.09
  5. Step 5: Solve for x
    x = 560,278.09/884.48
  6. Step 6: Final answer
    x = 633.46

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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.