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Finding the Fourth Proportional to 433.14, 649.70 and 189.60

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Solution

The fourth proportional to 433.14, 649.70 and 189.60 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 649.70 = 189.60 : x
  2. Step 2: Convert to fraction form
    433.14/649.70 = 189.60/x
  3. Step 3: Cross multiply
    433.14x = 649.70 × 189.60
  4. Step 4: Simplify right side
    433.14x = 123,183.12
  5. Step 5: Solve for x
    x = 123,183.12/433.14
  6. Step 6: Final answer
    x = 284.40

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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.