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Finding the Fourth Proportional to 433.62, 649.88 and 190.08

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Solution

The fourth proportional to 433.62, 649.88 and 190.08 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.62 : 649.88 = 190.08 : x
  2. Step 2: Convert to fraction form
    433.62/649.88 = 190.08/x
  3. Step 3: Cross multiply
    433.62x = 649.88 × 190.08
  4. Step 4: Simplify right side
    433.62x = 123,529.19
  5. Step 5: Solve for x
    x = 123,529.19/433.62
  6. Step 6: Final answer
    x = 284.88

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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.