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Finding the Fourth Proportional to 406.73, 610.09 and 98.58

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Solution

The fourth proportional to 406.73, 610.09 and 98.58 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 610.09 = 98.58 : x
  2. Step 2: Convert to fraction form
    406.73/610.09 = 98.58/x
  3. Step 3: Cross multiply
    406.73x = 610.09 × 98.58
  4. Step 4: Simplify right side
    406.73x = 60,144.99
  5. Step 5: Solve for x
    x = 60,144.99/406.73
  6. Step 6: Final answer
    x = 147.87

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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.