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Finding the Fourth Proportional to 596.26, 894.94 and 422.43

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Solution

The fourth proportional to 596.26, 894.94 and 422.43 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 894.94 = 422.43 : x
  2. Step 2: Convert to fraction form
    596.26/894.94 = 422.43/x
  3. Step 3: Cross multiply
    596.26x = 894.94 × 422.43
  4. Step 4: Simplify right side
    596.26x = 378,045.03
  5. Step 5: Solve for x
    x = 378,045.03/596.26
  6. Step 6: Final answer
    x = 634.03

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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.