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Finding the Fourth Proportional to 596.08, 822.21 and 374.65

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Solution

The fourth proportional to 596.08, 822.21 and 374.65 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 822.21 = 374.65 : x
  2. Step 2: Convert to fraction form
    596.08/822.21 = 374.65/x
  3. Step 3: Cross multiply
    596.08x = 822.21 × 374.65
  4. Step 4: Simplify right side
    596.08x = 308,042.46
  5. Step 5: Solve for x
    x = 308,042.46/596.08
  6. Step 6: Final answer
    x = 516.78

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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.