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Finding the Fourth Proportional to 596.46, 822.84 and 374.96

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Solution

The fourth proportional to 596.46, 822.84 and 374.96 is: 517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 822.84 = 374.96 : x
  2. Step 2: Convert to fraction form
    596.46/822.84 = 374.96/x
  3. Step 3: Cross multiply
    596.46x = 822.84 × 374.96
  4. Step 4: Simplify right side
    596.46x = 308,532.09
  5. Step 5: Solve for x
    x = 308,532.09/596.46
  6. Step 6: Final answer
    x = 517.27

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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.