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Finding the Fourth Proportional to 320.82, 481.39 and 236.02

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Solution

The fourth proportional to 320.82, 481.39 and 236.02 is: 354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 481.39 = 236.02 : x
  2. Step 2: Convert to fraction form
    320.82/481.39 = 236.02/x
  3. Step 3: Cross multiply
    320.82x = 481.39 × 236.02
  4. Step 4: Simplify right side
    320.82x = 113,617.67
  5. Step 5: Solve for x
    x = 113,617.67/320.82
  6. Step 6: Final answer
    x = 354.15

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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.