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Finding the Fourth Proportional to 407.37, 611.33 and 190.97

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Solution

The fourth proportional to 407.37, 611.33 and 190.97 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 611.33 = 190.97 : x
  2. Step 2: Convert to fraction form
    407.37/611.33 = 190.97/x
  3. Step 3: Cross multiply
    407.37x = 611.33 × 190.97
  4. Step 4: Simplify right side
    407.37x = 116,745.69
  5. Step 5: Solve for x
    x = 116,745.69/407.37
  6. Step 6: Final answer
    x = 286.58

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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.