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Finding the Fourth Proportional to 433.11, 649.19 and 189.17

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Solution

The fourth proportional to 433.11, 649.19 and 189.17 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.11 : 649.19 = 189.17 : x
  2. Step 2: Convert to fraction form
    433.11/649.19 = 189.17/x
  3. Step 3: Cross multiply
    433.11x = 649.19 × 189.17
  4. Step 4: Simplify right side
    433.11x = 122,803.08
  5. Step 5: Solve for x
    x = 122,803.08/433.11
  6. Step 6: Final answer
    x = 283.54

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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.