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Finding the Fourth Proportional to 433.30, 649.92 and 144.73

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Solution

The fourth proportional to 433.30, 649.92 and 144.73 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.30 : 649.92 = 144.73 : x
  2. Step 2: Convert to fraction form
    433.30/649.92 = 144.73/x
  3. Step 3: Cross multiply
    433.30x = 649.92 × 144.73
  4. Step 4: Simplify right side
    433.30x = 94,062.92
  5. Step 5: Solve for x
    x = 94,062.92/433.30
  6. Step 6: Final answer
    x = 217.08

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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.