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Finding the Fourth Proportional to 823.46, 1,234.74 and 329.42

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Solution

The fourth proportional to 823.46, 1,234.74 and 329.42 is: 493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.46 : 1,234.74 = 329.42 : x
  2. Step 2: Convert to fraction form
    823.46/1,234.74 = 329.42/x
  3. Step 3: Cross multiply
    823.46x = 1,234.74 × 329.42
  4. Step 4: Simplify right side
    823.46x = 406,748.05
  5. Step 5: Solve for x
    x = 406,748.05/823.46
  6. Step 6: Final answer
    x = 493.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.