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Finding the Fourth Proportional to 596.50, 822.96 and 375.37

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Solution

The fourth proportional to 596.50, 822.96 and 375.37 is: 517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 822.96 = 375.37 : x
  2. Step 2: Convert to fraction form
    596.50/822.96 = 375.37/x
  3. Step 3: Cross multiply
    596.50x = 822.96 × 375.37
  4. Step 4: Simplify right side
    596.50x = 308,912.44
  5. Step 5: Solve for x
    x = 308,912.44/596.50
  6. Step 6: Final answer
    x = 517.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.