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Finding the Fourth Proportional to 397.98, 596.83 and 137.91

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Solution

The fourth proportional to 397.98, 596.83 and 137.91 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 596.83 = 137.91 : x
  2. Step 2: Convert to fraction form
    397.98/596.83 = 137.91/x
  3. Step 3: Cross multiply
    397.98x = 596.83 × 137.91
  4. Step 4: Simplify right side
    397.98x = 82,309.40
  5. Step 5: Solve for x
    x = 82,309.40/397.98
  6. Step 6: Final answer
    x = 206.82

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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.