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Finding the Fourth Proportional to 353.26, 487.46 and 205.86

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Solution

The fourth proportional to 353.26, 487.46 and 205.86 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 487.46 = 205.86 : x
  2. Step 2: Convert to fraction form
    353.26/487.46 = 205.86/x
  3. Step 3: Cross multiply
    353.26x = 487.46 × 205.86
  4. Step 4: Simplify right side
    353.26x = 100,347.49
  5. Step 5: Solve for x
    x = 100,347.49/353.26
  6. Step 6: Final answer
    x = 284.07

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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.