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Finding the Fourth Proportional to 407.28, 610.77 and 163.80

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Solution

The fourth proportional to 407.28, 610.77 and 163.80 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 610.77 = 163.80 : x
  2. Step 2: Convert to fraction form
    407.28/610.77 = 163.80/x
  3. Step 3: Cross multiply
    407.28x = 610.77 × 163.80
  4. Step 4: Simplify right side
    407.28x = 100,044.13
  5. Step 5: Solve for x
    x = 100,044.13/407.28
  6. Step 6: Final answer
    x = 245.64

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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.