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Finding the Fourth Proportional to 490.44, 736.14 and 234.12

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Solution

The fourth proportional to 490.44, 736.14 and 234.12 is: 351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 736.14 = 234.12 : x
  2. Step 2: Convert to fraction form
    490.44/736.14 = 234.12/x
  3. Step 3: Cross multiply
    490.44x = 736.14 × 234.12
  4. Step 4: Simplify right side
    490.44x = 172,345.10
  5. Step 5: Solve for x
    x = 172,345.10/490.44
  6. Step 6: Final answer
    x = 351.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.