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Finding the Fourth Proportional to 919.53, 1,379.57 and 270.27

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Solution

The fourth proportional to 919.53, 1,379.57 and 270.27 is: 405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.53 : 1,379.57 = 270.27 : x
  2. Step 2: Convert to fraction form
    919.53/1,379.57 = 270.27/x
  3. Step 3: Cross multiply
    919.53x = 1,379.57 × 270.27
  4. Step 4: Simplify right side
    919.53x = 372,855.03
  5. Step 5: Solve for x
    x = 372,855.03/919.53
  6. Step 6: Final answer
    x = 405.48

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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.