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Finding the Fourth Proportional to 543.38, 815.79 and 422.42

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Solution

The fourth proportional to 543.38, 815.79 and 422.42 is: 634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 815.79 = 422.42 : x
  2. Step 2: Convert to fraction form
    543.38/815.79 = 422.42/x
  3. Step 3: Cross multiply
    543.38x = 815.79 × 422.42
  4. Step 4: Simplify right side
    543.38x = 344,606.01
  5. Step 5: Solve for x
    x = 344,606.01/543.38
  6. Step 6: Final answer
    x = 634.19

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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.