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Finding the Fourth Proportional to 490.36, 735.40 and 201.64

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Solution

The fourth proportional to 490.36, 735.40 and 201.64 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.36 : 735.40 = 201.64 : x
  2. Step 2: Convert to fraction form
    490.36/735.40 = 201.64/x
  3. Step 3: Cross multiply
    490.36x = 735.40 × 201.64
  4. Step 4: Simplify right side
    490.36x = 148,286.06
  5. Step 5: Solve for x
    x = 148,286.06/490.36
  6. Step 6: Final answer
    x = 302.40

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