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Finding the Fourth Proportional to 433.93, 650.39 and 190.33

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Solution

The fourth proportional to 433.93, 650.39 and 190.33 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.93 : 650.39 = 190.33 : x
  2. Step 2: Convert to fraction form
    433.93/650.39 = 190.33/x
  3. Step 3: Cross multiply
    433.93x = 650.39 × 190.33
  4. Step 4: Simplify right side
    433.93x = 123,788.73
  5. Step 5: Solve for x
    x = 123,788.73/433.93
  6. Step 6: Final answer
    x = 285.27

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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.