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Finding the Fourth Proportional to 320.48, 441.60 and 276.80

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Solution

The fourth proportional to 320.48, 441.60 and 276.80 is: 381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.48 : 441.60 = 276.80 : x
  2. Step 2: Convert to fraction form
    320.48/441.60 = 276.80/x
  3. Step 3: Cross multiply
    320.48x = 441.60 × 276.80
  4. Step 4: Simplify right side
    320.48x = 122,234.88
  5. Step 5: Solve for x
    x = 122,234.88/320.48
  6. Step 6: Final answer
    x = 381.41

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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.