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Finding the Fourth Proportional to 433.26, 649.89 and 189.74

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Solution

The fourth proportional to 433.26, 649.89 and 189.74 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 649.89 = 189.74 : x
  2. Step 2: Convert to fraction form
    433.26/649.89 = 189.74/x
  3. Step 3: Cross multiply
    433.26x = 649.89 × 189.74
  4. Step 4: Simplify right side
    433.26x = 123,306.88
  5. Step 5: Solve for x
    x = 123,306.88/433.26
  6. Step 6: Final answer
    x = 284.60

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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.