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Finding the Fourth Proportional to 490.79, 735.41 and 344.23

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Solution

The fourth proportional to 490.79, 735.41 and 344.23 is: 515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.79 : 735.41 = 344.23 : x
  2. Step 2: Convert to fraction form
    490.79/735.41 = 344.23/x
  3. Step 3: Cross multiply
    490.79x = 735.41 × 344.23
  4. Step 4: Simplify right side
    490.79x = 253,149.21
  5. Step 5: Solve for x
    x = 253,149.21/490.79
  6. Step 6: Final answer
    x = 515.80

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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.