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Finding the Fourth Proportional to 433.49, 650.93 and 190.49

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Solution

The fourth proportional to 433.49, 650.93 and 190.49 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 650.93 = 190.49 : x
  2. Step 2: Convert to fraction form
    433.49/650.93 = 190.49/x
  3. Step 3: Cross multiply
    433.49x = 650.93 × 190.49
  4. Step 4: Simplify right side
    433.49x = 123,991.45
  5. Step 5: Solve for x
    x = 123,991.45/433.49
  6. Step 6: Final answer
    x = 286.03

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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.