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Finding the Fourth Proportional to 596.26, 894.78 and 211.50

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Solution

The fourth proportional to 596.26, 894.78 and 211.50 is: 317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 894.78 = 211.50 : x
  2. Step 2: Convert to fraction form
    596.26/894.78 = 211.50/x
  3. Step 3: Cross multiply
    596.26x = 894.78 × 211.50
  4. Step 4: Simplify right side
    596.26x = 189,245.97
  5. Step 5: Solve for x
    x = 189,245.97/596.26
  6. Step 6: Final answer
    x = 317.39

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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.