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Finding the Fourth Proportional to 823.26, 1,235.10 and 329.70

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Solution

The fourth proportional to 823.26, 1,235.10 and 329.70 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,235.10 = 329.70 : x
  2. Step 2: Convert to fraction form
    823.26/1,235.10 = 329.70/x
  3. Step 3: Cross multiply
    823.26x = 1,235.10 × 329.70
  4. Step 4: Simplify right side
    823.26x = 407,212.47
  5. Step 5: Solve for x
    x = 407,212.47/823.26
  6. Step 6: Final answer
    x = 494.63

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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.