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Finding the Fourth Proportional to 490.73, 673.60 and 434.24

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Solution

The fourth proportional to 490.73, 673.60 and 434.24 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 673.60 = 434.24 : x
  2. Step 2: Convert to fraction form
    490.73/673.60 = 434.24/x
  3. Step 3: Cross multiply
    490.73x = 673.60 × 434.24
  4. Step 4: Simplify right side
    490.73x = 292,504.06
  5. Step 5: Solve for x
    x = 292,504.06/490.73
  6. Step 6: Final answer
    x = 596.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.