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Finding the Fourth Proportional to 408.52, 611.34 and 385.48

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Solution

The fourth proportional to 408.52, 611.34 and 385.48 is: 576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 611.34 = 385.48 : x
  2. Step 2: Convert to fraction form
    408.52/611.34 = 385.48/x
  3. Step 3: Cross multiply
    408.52x = 611.34 × 385.48
  4. Step 4: Simplify right side
    408.52x = 235,659.34
  5. Step 5: Solve for x
    x = 235,659.34/408.52
  6. Step 6: Final answer
    x = 576.86

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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.