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Finding the Fourth Proportional to 596.62, 823.29 and 331.04

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Solution

The fourth proportional to 596.62, 823.29 and 331.04 is: 456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 823.29 = 331.04 : x
  2. Step 2: Convert to fraction form
    596.62/823.29 = 331.04/x
  3. Step 3: Cross multiply
    596.62x = 823.29 × 331.04
  4. Step 4: Simplify right side
    596.62x = 272,541.92
  5. Step 5: Solve for x
    x = 272,541.92/596.62
  6. Step 6: Final answer
    x = 456.81

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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.