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Finding the Fourth Proportional to 323.09, 484.77 and 130.85

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Solution

The fourth proportional to 323.09, 484.77 and 130.85 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.09 : 484.77 = 130.85 : x
  2. Step 2: Convert to fraction form
    323.09/484.77 = 130.85/x
  3. Step 3: Cross multiply
    323.09x = 484.77 × 130.85
  4. Step 4: Simplify right side
    323.09x = 63,431.30
  5. Step 5: Solve for x
    x = 63,431.30/323.09
  6. Step 6: Final answer
    x = 196.33

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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.