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Finding the Fourth Proportional to 540.44, 745.44 and 344.22

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Solution

The fourth proportional to 540.44, 745.44 and 344.22 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 745.44 = 344.22 : x
  2. Step 2: Convert to fraction form
    540.44/745.44 = 344.22/x
  3. Step 3: Cross multiply
    540.44x = 745.44 × 344.22
  4. Step 4: Simplify right side
    540.44x = 256,591.27
  5. Step 5: Solve for x
    x = 256,591.27/540.44
  6. Step 6: Final answer
    x = 474.78

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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.