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Finding the Fourth Proportional to 490.44, 734.82 and 352.83

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Solution

The fourth proportional to 490.44, 734.82 and 352.83 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 734.82 = 352.83 : x
  2. Step 2: Convert to fraction form
    490.44/734.82 = 352.83/x
  3. Step 3: Cross multiply
    490.44x = 734.82 × 352.83
  4. Step 4: Simplify right side
    490.44x = 259,266.54
  5. Step 5: Solve for x
    x = 259,266.54/490.44
  6. Step 6: Final answer
    x = 528.64

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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.