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Finding the Fourth Proportional to 433.23, 649.47 and 189.58

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Solution

The fourth proportional to 433.23, 649.47 and 189.58 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 649.47 = 189.58 : x
  2. Step 2: Convert to fraction form
    433.23/649.47 = 189.58/x
  3. Step 3: Cross multiply
    433.23x = 649.47 × 189.58
  4. Step 4: Simplify right side
    433.23x = 123,126.52
  5. Step 5: Solve for x
    x = 123,126.52/433.23
  6. Step 6: Final answer
    x = 284.21

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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.