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Finding the Fourth Proportional to 433.82, 650.71 and 190.29

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Solution

The fourth proportional to 433.82, 650.71 and 190.29 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 650.71 = 190.29 : x
  2. Step 2: Convert to fraction form
    433.82/650.71 = 190.29/x
  3. Step 3: Cross multiply
    433.82x = 650.71 × 190.29
  4. Step 4: Simplify right side
    433.82x = 123,823.61
  5. Step 5: Solve for x
    x = 123,823.61/433.82
  6. Step 6: Final answer
    x = 285.43

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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.