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Finding the Fourth Proportional to 596.11, 893.92 and 200.71

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Solution

The fourth proportional to 596.11, 893.92 and 200.71 is: 300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.11 : 893.92 = 200.71 : x
  2. Step 2: Convert to fraction form
    596.11/893.92 = 200.71/x
  3. Step 3: Cross multiply
    596.11x = 893.92 × 200.71
  4. Step 4: Simplify right side
    596.11x = 179,418.68
  5. Step 5: Solve for x
    x = 179,418.68/596.11
  6. Step 6: Final answer
    x = 300.98

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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.