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Finding the Fourth Proportional to 353.30, 487.64 and 205.97

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Solution

The fourth proportional to 353.30, 487.64 and 205.97 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.30 : 487.64 = 205.97 : x
  2. Step 2: Convert to fraction form
    353.30/487.64 = 205.97/x
  3. Step 3: Cross multiply
    353.30x = 487.64 × 205.97
  4. Step 4: Simplify right side
    353.30x = 100,435.74
  5. Step 5: Solve for x
    x = 100,435.74/353.30
  6. Step 6: Final answer
    x = 284.28

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