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Finding the Fourth Proportional to 433.75, 649.73 and 202.84

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Solution

The fourth proportional to 433.75, 649.73 and 202.84 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.75 : 649.73 = 202.84 : x
  2. Step 2: Convert to fraction form
    433.75/649.73 = 202.84/x
  3. Step 3: Cross multiply
    433.75x = 649.73 × 202.84
  4. Step 4: Simplify right side
    433.75x = 131,791.23
  5. Step 5: Solve for x
    x = 131,791.23/433.75
  6. Step 6: Final answer
    x = 303.84

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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.