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Finding the Fourth Proportional to 919.28, 1,378.88 and 225.91

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Solution

The fourth proportional to 919.28, 1,378.88 and 225.91 is: 338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.28 : 1,378.88 = 225.91 : x
  2. Step 2: Convert to fraction form
    919.28/1,378.88 = 225.91/x
  3. Step 3: Cross multiply
    919.28x = 1,378.88 × 225.91
  4. Step 4: Simplify right side
    919.28x = 311,504.22
  5. Step 5: Solve for x
    x = 311,504.22/919.28
  6. Step 6: Final answer
    x = 338.86

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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.