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Finding the Fourth Proportional to 408.08, 610.86 and 349.76

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Solution

The fourth proportional to 408.08, 610.86 and 349.76 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.08 : 610.86 = 349.76 : x
  2. Step 2: Convert to fraction form
    408.08/610.86 = 349.76/x
  3. Step 3: Cross multiply
    408.08x = 610.86 × 349.76
  4. Step 4: Simplify right side
    408.08x = 213,654.39
  5. Step 5: Solve for x
    x = 213,654.39/408.08
  6. Step 6: Final answer
    x = 523.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.