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Finding the Fourth Proportional to 433, 649.50 and 198.82

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Solution

The fourth proportional to 433, 649.50 and 198.82 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 649.50 = 198.82 : x
  2. Step 2: Convert to fraction form
    433/649.50 = 198.82/x
  3. Step 3: Cross multiply
    433x = 649.50 × 198.82
  4. Step 4: Simplify right side
    433x = 129,133.59
  5. Step 5: Solve for x
    x = 129,133.59/433
  6. Step 6: Final answer
    x = 298.23

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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.