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Finding the Fourth Proportional to 433.02, 649.77 and 189.54

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Solution

The fourth proportional to 433.02, 649.77 and 189.54 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 649.77 = 189.54 : x
  2. Step 2: Convert to fraction form
    433.02/649.77 = 189.54/x
  3. Step 3: Cross multiply
    433.02x = 649.77 × 189.54
  4. Step 4: Simplify right side
    433.02x = 123,157.76
  5. Step 5: Solve for x
    x = 123,157.76/433.02
  6. Step 6: Final answer
    x = 284.42

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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.