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Finding the Fourth Proportional to 596.19, 894.42 and 200.91

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Solution

The fourth proportional to 596.19, 894.42 and 200.91 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 894.42 = 200.91 : x
  2. Step 2: Convert to fraction form
    596.19/894.42 = 200.91/x
  3. Step 3: Cross multiply
    596.19x = 894.42 × 200.91
  4. Step 4: Simplify right side
    596.19x = 179,697.92
  5. Step 5: Solve for x
    x = 179,697.92/596.19
  6. Step 6: Final answer
    x = 301.41

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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.