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Finding the Fourth Proportional to 353.36, 487.49 and 205.94

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Solution

The fourth proportional to 353.36, 487.49 and 205.94 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.36 : 487.49 = 205.94 : x
  2. Step 2: Convert to fraction form
    353.36/487.49 = 205.94/x
  3. Step 3: Cross multiply
    353.36x = 487.49 × 205.94
  4. Step 4: Simplify right side
    353.36x = 100,393.88
  5. Step 5: Solve for x
    x = 100,393.88/353.36
  6. Step 6: Final answer
    x = 284.11

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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.