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Finding the Fourth Proportional to 433.72, 650.76 and 202.44

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Solution

The fourth proportional to 433.72, 650.76 and 202.44 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 650.76 = 202.44 : x
  2. Step 2: Convert to fraction form
    433.72/650.76 = 202.44/x
  3. Step 3: Cross multiply
    433.72x = 650.76 × 202.44
  4. Step 4: Simplify right side
    433.72x = 131,739.85
  5. Step 5: Solve for x
    x = 131,739.85/433.72
  6. Step 6: Final answer
    x = 303.74

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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.