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Finding the Fourth Proportional to 596.39, 894.25 and 185.42

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Solution

The fourth proportional to 596.39, 894.25 and 185.42 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 894.25 = 185.42 : x
  2. Step 2: Convert to fraction form
    596.39/894.25 = 185.42/x
  3. Step 3: Cross multiply
    596.39x = 894.25 × 185.42
  4. Step 4: Simplify right side
    596.39x = 165,811.84
  5. Step 5: Solve for x
    x = 165,811.84/596.39
  6. Step 6: Final answer
    x = 278.03

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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.