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Finding the Fourth Proportional to 596.52, 894.71 and 185.67

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Solution

The fourth proportional to 596.52, 894.71 and 185.67 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 894.71 = 185.67 : x
  2. Step 2: Convert to fraction form
    596.52/894.71 = 185.67/x
  3. Step 3: Cross multiply
    596.52x = 894.71 × 185.67
  4. Step 4: Simplify right side
    596.52x = 166,121.27
  5. Step 5: Solve for x
    x = 166,121.27/596.52
  6. Step 6: Final answer
    x = 278.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.