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Finding the Fourth Proportional to 823.57, 1,235.08 and 329.80

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Solution

The fourth proportional to 823.57, 1,235.08 and 329.80 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,235.08 = 329.80 : x
  2. Step 2: Convert to fraction form
    823.57/1,235.08 = 329.80/x
  3. Step 3: Cross multiply
    823.57x = 1,235.08 × 329.80
  4. Step 4: Simplify right side
    823.57x = 407,329.38
  5. Step 5: Solve for x
    x = 407,329.38/823.57
  6. Step 6: Final answer
    x = 494.59

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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.