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Finding the Fourth Proportional to 344.73, 476.49 and 261.97

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Solution

The fourth proportional to 344.73, 476.49 and 261.97 is: 362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.73 : 476.49 = 261.97 : x
  2. Step 2: Convert to fraction form
    344.73/476.49 = 261.97/x
  3. Step 3: Cross multiply
    344.73x = 476.49 × 261.97
  4. Step 4: Simplify right side
    344.73x = 124,826.09
  5. Step 5: Solve for x
    x = 124,826.09/344.73
  6. Step 6: Final answer
    x = 362.10

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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.