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Finding the Fourth Proportional to 823.97, 1,235.95 and 330.60

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Solution

The fourth proportional to 823.97, 1,235.95 and 330.60 is: 495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,235.95 = 330.60 : x
  2. Step 2: Convert to fraction form
    823.97/1,235.95 = 330.60/x
  3. Step 3: Cross multiply
    823.97x = 1,235.95 × 330.60
  4. Step 4: Simplify right side
    823.97x = 408,601.12
  5. Step 5: Solve for x
    x = 408,601.12/823.97
  6. Step 6: Final answer
    x = 495.89

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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.