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Finding the Fourth Proportional to 320.72, 480.26 and 198.61

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Solution

The fourth proportional to 320.72, 480.26 and 198.61 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 480.26 = 198.61 : x
  2. Step 2: Convert to fraction form
    320.72/480.26 = 198.61/x
  3. Step 3: Cross multiply
    320.72x = 480.26 × 198.61
  4. Step 4: Simplify right side
    320.72x = 95,383.73
  5. Step 5: Solve for x
    x = 95,383.73/320.72
  6. Step 6: Final answer
    x = 297.41

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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.