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Finding the Fourth Proportional to 617.96, 853.22 and 443.32

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Solution

The fourth proportional to 617.96, 853.22 and 443.32 is: 612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 853.22 = 443.32 : x
  2. Step 2: Convert to fraction form
    617.96/853.22 = 443.32/x
  3. Step 3: Cross multiply
    617.96x = 853.22 × 443.32
  4. Step 4: Simplify right side
    617.96x = 378,249.49
  5. Step 5: Solve for x
    x = 378,249.49/617.96
  6. Step 6: Final answer
    x = 612.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.