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Finding the Fourth Proportional to 320.82, 481.23 and 280.32

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Solution

The fourth proportional to 320.82, 481.23 and 280.32 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 481.23 = 280.32 : x
  2. Step 2: Convert to fraction form
    320.82/481.23 = 280.32/x
  3. Step 3: Cross multiply
    320.82x = 481.23 × 280.32
  4. Step 4: Simplify right side
    320.82x = 134,898.39
  5. Step 5: Solve for x
    x = 134,898.39/320.82
  6. Step 6: Final answer
    x = 420.48

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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.