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Finding the Fourth Proportional to 301.96, 416.23 and 276.85

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Solution

The fourth proportional to 301.96, 416.23 and 276.85 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.23 = 276.85 : x
  2. Step 2: Convert to fraction form
    301.96/416.23 = 276.85/x
  3. Step 3: Cross multiply
    301.96x = 416.23 × 276.85
  4. Step 4: Simplify right side
    301.96x = 115,233.28
  5. Step 5: Solve for x
    x = 115,233.28/301.96
  6. Step 6: Final answer
    x = 381.62

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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.