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Finding the Fourth Proportional to 540.71, 746.18 and 344.22

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Solution

The fourth proportional to 540.71, 746.18 and 344.22 is: 475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.71 : 746.18 = 344.22 : x
  2. Step 2: Convert to fraction form
    540.71/746.18 = 344.22/x
  3. Step 3: Cross multiply
    540.71x = 746.18 × 344.22
  4. Step 4: Simplify right side
    540.71x = 256,850.08
  5. Step 5: Solve for x
    x = 256,850.08/540.71
  6. Step 6: Final answer
    x = 475.02

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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.