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Finding the Fourth Proportional to 335.97, 463.68 and 252.94

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Solution

The fourth proportional to 335.97, 463.68 and 252.94 is: 349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.97 : 463.68 = 252.94 : x
  2. Step 2: Convert to fraction form
    335.97/463.68 = 252.94/x
  3. Step 3: Cross multiply
    335.97x = 463.68 × 252.94
  4. Step 4: Simplify right side
    335.97x = 117,283.22
  5. Step 5: Solve for x
    x = 117,283.22/335.97
  6. Step 6: Final answer
    x = 349.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.