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Finding the Fourth Proportional to 335.73, 506.14 and 281.97

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Solution

The fourth proportional to 335.73, 506.14 and 281.97 is: 425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.73 : 506.14 = 281.97 : x
  2. Step 2: Convert to fraction form
    335.73/506.14 = 281.97/x
  3. Step 3: Cross multiply
    335.73x = 506.14 × 281.97
  4. Step 4: Simplify right side
    335.73x = 142,716.30
  5. Step 5: Solve for x
    x = 142,716.30/335.73
  6. Step 6: Final answer
    x = 425.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.