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Finding the Fourth Proportional to 406.73, 610.02 and 114.20

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Solution

The fourth proportional to 406.73, 610.02 and 114.20 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 610.02 = 114.20 : x
  2. Step 2: Convert to fraction form
    406.73/610.02 = 114.20/x
  3. Step 3: Cross multiply
    406.73x = 610.02 × 114.20
  4. Step 4: Simplify right side
    406.73x = 69,664.28
  5. Step 5: Solve for x
    x = 69,664.28/406.73
  6. Step 6: Final answer
    x = 171.28

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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.