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Finding the Fourth Proportional to 490.26, 734.70 and 201.90

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Solution

The fourth proportional to 490.26, 734.70 and 201.90 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 734.70 = 201.90 : x
  2. Step 2: Convert to fraction form
    490.26/734.70 = 201.90/x
  3. Step 3: Cross multiply
    490.26x = 734.70 × 201.90
  4. Step 4: Simplify right side
    490.26x = 148,335.93
  5. Step 5: Solve for x
    x = 148,335.93/490.26
  6. Step 6: Final answer
    x = 302.57

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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.