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Finding the Fourth Proportional to 408.97, 610.70 and 350.58

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Solution

The fourth proportional to 408.97, 610.70 and 350.58 is: 523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.97 : 610.70 = 350.58 : x
  2. Step 2: Convert to fraction form
    408.97/610.70 = 350.58/x
  3. Step 3: Cross multiply
    408.97x = 610.70 × 350.58
  4. Step 4: Simplify right side
    408.97x = 214,099.21
  5. Step 5: Solve for x
    x = 214,099.21/408.97
  6. Step 6: Final answer
    x = 523.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.