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Finding the Fourth Proportional to 407.54, 610.79 and 163.93

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Solution

The fourth proportional to 407.54, 610.79 and 163.93 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.54 : 610.79 = 163.93 : x
  2. Step 2: Convert to fraction form
    407.54/610.79 = 163.93/x
  3. Step 3: Cross multiply
    407.54x = 610.79 × 163.93
  4. Step 4: Simplify right side
    407.54x = 100,123.75
  5. Step 5: Solve for x
    x = 100,123.75/407.54
  6. Step 6: Final answer
    x = 245.68

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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.