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Finding the Fourth Proportional to 596.25, 822.41 and 576.18

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Solution

The fourth proportional to 596.25, 822.41 and 576.18 is: 794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 822.41 = 576.18 : x
  2. Step 2: Convert to fraction form
    596.25/822.41 = 576.18/x
  3. Step 3: Cross multiply
    596.25x = 822.41 × 576.18
  4. Step 4: Simplify right side
    596.25x = 473,861.80
  5. Step 5: Solve for x
    x = 473,861.80/596.25
  6. Step 6: Final answer
    x = 794.73

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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.