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Finding the Fourth Proportional to 490.21, 735.62 and 453.02

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Solution

The fourth proportional to 490.21, 735.62 and 453.02 is: 679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.21 : 735.62 = 453.02 : x
  2. Step 2: Convert to fraction form
    490.21/735.62 = 453.02/x
  3. Step 3: Cross multiply
    490.21x = 735.62 × 453.02
  4. Step 4: Simplify right side
    490.21x = 333,250.57
  5. Step 5: Solve for x
    x = 333,250.57/490.21
  6. Step 6: Final answer
    x = 679.81

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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.