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Finding the Fourth Proportional to 433.63, 650.09 and 189.98

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Solution

The fourth proportional to 433.63, 650.09 and 189.98 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 650.09 = 189.98 : x
  2. Step 2: Convert to fraction form
    433.63/650.09 = 189.98/x
  3. Step 3: Cross multiply
    433.63x = 650.09 × 189.98
  4. Step 4: Simplify right side
    433.63x = 123,504.10
  5. Step 5: Solve for x
    x = 123,504.10/433.63
  6. Step 6: Final answer
    x = 284.81

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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.