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Finding the Fourth Proportional to 353.52, 487.94 and 206.17

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Solution

The fourth proportional to 353.52, 487.94 and 206.17 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 487.94 = 206.17 : x
  2. Step 2: Convert to fraction form
    353.52/487.94 = 206.17/x
  3. Step 3: Cross multiply
    353.52x = 487.94 × 206.17
  4. Step 4: Simplify right side
    353.52x = 100,598.59
  5. Step 5: Solve for x
    x = 100,598.59/353.52
  6. Step 6: Final answer
    x = 284.56

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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.