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Finding the Fourth Proportional to 596.26, 894.35 and 185.43

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Solution

The fourth proportional to 596.26, 894.35 and 185.43 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 894.35 = 185.43 : x
  2. Step 2: Convert to fraction form
    596.26/894.35 = 185.43/x
  3. Step 3: Cross multiply
    596.26x = 894.35 × 185.43
  4. Step 4: Simplify right side
    596.26x = 165,843.14
  5. Step 5: Solve for x
    x = 165,843.14/596.26
  6. Step 6: Final answer
    x = 278.14

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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.