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Finding the Fourth Proportional to 596.65, 823.42 and 331.17

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Solution

The fourth proportional to 596.65, 823.42 and 331.17 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.65 : 823.42 = 331.17 : x
  2. Step 2: Convert to fraction form
    596.65/823.42 = 331.17/x
  3. Step 3: Cross multiply
    596.65x = 823.42 × 331.17
  4. Step 4: Simplify right side
    596.65x = 272,691.17
  5. Step 5: Solve for x
    x = 272,691.17/596.65
  6. Step 6: Final answer
    x = 457.04

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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.