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Finding the Fourth Proportional to 490.40, 735.16 and 201.64

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Solution

The fourth proportional to 490.40, 735.16 and 201.64 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 735.16 = 201.64 : x
  2. Step 2: Convert to fraction form
    490.40/735.16 = 201.64/x
  3. Step 3: Cross multiply
    490.40x = 735.16 × 201.64
  4. Step 4: Simplify right side
    490.40x = 148,237.66
  5. Step 5: Solve for x
    x = 148,237.66/490.40
  6. Step 6: Final answer
    x = 302.28

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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.