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Finding the Fourth Proportional to 297.27, 409.46 and 277.11

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Solution

The fourth proportional to 297.27, 409.46 and 277.11 is: 381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 409.46 = 277.11 : x
  2. Step 2: Convert to fraction form
    297.27/409.46 = 277.11/x
  3. Step 3: Cross multiply
    297.27x = 409.46 × 277.11
  4. Step 4: Simplify right side
    297.27x = 113,464.08
  5. Step 5: Solve for x
    x = 113,464.08/297.27
  6. Step 6: Final answer
    x = 381.69

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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.