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Finding the Fourth Proportional to 392.05, 540.99 and 226.27

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Solution

The fourth proportional to 392.05, 540.99 and 226.27 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 540.99 = 226.27 : x
  2. Step 2: Convert to fraction form
    392.05/540.99 = 226.27/x
  3. Step 3: Cross multiply
    392.05x = 540.99 × 226.27
  4. Step 4: Simplify right side
    392.05x = 122,409.81
  5. Step 5: Solve for x
    x = 122,409.81/392.05
  6. Step 6: Final answer
    x = 312.23

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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.