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Finding the Fourth Proportional to 433.81, 650.82 and 202.86

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Solution

The fourth proportional to 433.81, 650.82 and 202.86 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.81 : 650.82 = 202.86 : x
  2. Step 2: Convert to fraction form
    433.81/650.82 = 202.86/x
  3. Step 3: Cross multiply
    433.81x = 650.82 × 202.86
  4. Step 4: Simplify right side
    433.81x = 132,024.33
  5. Step 5: Solve for x
    x = 132,024.33/433.81
  6. Step 6: Final answer
    x = 304.34

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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.