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Finding the Fourth Proportional to 407.31, 611.01 and 163.84

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Solution

The fourth proportional to 407.31, 611.01 and 163.84 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.31 : 611.01 = 163.84 : x
  2. Step 2: Convert to fraction form
    407.31/611.01 = 163.84/x
  3. Step 3: Cross multiply
    407.31x = 611.01 × 163.84
  4. Step 4: Simplify right side
    407.31x = 100,107.88
  5. Step 5: Solve for x
    x = 100,107.88/407.31
  6. Step 6: Final answer
    x = 245.78

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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.