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Finding the Fourth Proportional to 433.18, 649.54 and 189.59

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Solution

The fourth proportional to 433.18, 649.54 and 189.59 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 649.54 = 189.59 : x
  2. Step 2: Convert to fraction form
    433.18/649.54 = 189.59/x
  3. Step 3: Cross multiply
    433.18x = 649.54 × 189.59
  4. Step 4: Simplify right side
    433.18x = 123,146.29
  5. Step 5: Solve for x
    x = 123,146.29/433.18
  6. Step 6: Final answer
    x = 284.28

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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.