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Finding the Fourth Proportional to 406.85, 610.01 and 269.83

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Solution

The fourth proportional to 406.85, 610.01 and 269.83 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 610.01 = 269.83 : x
  2. Step 2: Convert to fraction form
    406.85/610.01 = 269.83/x
  3. Step 3: Cross multiply
    406.85x = 610.01 × 269.83
  4. Step 4: Simplify right side
    406.85x = 164,594.60
  5. Step 5: Solve for x
    x = 164,594.60/406.85
  6. Step 6: Final answer
    x = 404.56

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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.