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Finding the Fourth Proportional to 490.68, 736.47 and 274.41

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Solution

The fourth proportional to 490.68, 736.47 and 274.41 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 736.47 = 274.41 : x
  2. Step 2: Convert to fraction form
    490.68/736.47 = 274.41/x
  3. Step 3: Cross multiply
    490.68x = 736.47 × 274.41
  4. Step 4: Simplify right side
    490.68x = 202,094.73
  5. Step 5: Solve for x
    x = 202,094.73/490.68
  6. Step 6: Final answer
    x = 411.87

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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.