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Finding the Fourth Proportional to 490.12, 735.24 and 201.52

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Solution

The fourth proportional to 490.12, 735.24 and 201.52 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.12 : 735.24 = 201.52 : x
  2. Step 2: Convert to fraction form
    490.12/735.24 = 201.52/x
  3. Step 3: Cross multiply
    490.12x = 735.24 × 201.52
  4. Step 4: Simplify right side
    490.12x = 148,165.56
  5. Step 5: Solve for x
    x = 148,165.56/490.12
  6. Step 6: Final answer
    x = 302.30

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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.