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Finding the Fourth Proportional to 540.22, 745.41 and 343.48

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Solution

The fourth proportional to 540.22, 745.41 and 343.48 is: 473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 745.41 = 343.48 : x
  2. Step 2: Convert to fraction form
    540.22/745.41 = 343.48/x
  3. Step 3: Cross multiply
    540.22x = 745.41 × 343.48
  4. Step 4: Simplify right side
    540.22x = 256,033.43
  5. Step 5: Solve for x
    x = 256,033.43/540.22
  6. Step 6: Final answer
    x = 473.94

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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.