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Finding the Fourth Proportional to 406.97, 610.46 and 98.83

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Solution

The fourth proportional to 406.97, 610.46 and 98.83 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 610.46 = 98.83 : x
  2. Step 2: Convert to fraction form
    406.97/610.46 = 98.83/x
  3. Step 3: Cross multiply
    406.97x = 610.46 × 98.83
  4. Step 4: Simplify right side
    406.97x = 60,328.97
  5. Step 5: Solve for x
    x = 60,328.97/406.97
  6. Step 6: Final answer
    x = 148.24

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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.