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Finding the Fourth Proportional to 433.85, 650.77 and 159.83

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Solution

The fourth proportional to 433.85, 650.77 and 159.83 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.85 : 650.77 = 159.83 : x
  2. Step 2: Convert to fraction form
    433.85/650.77 = 159.83/x
  3. Step 3: Cross multiply
    433.85x = 650.77 × 159.83
  4. Step 4: Simplify right side
    433.85x = 104,008.92
  5. Step 5: Solve for x
    x = 104,008.92/433.85
  6. Step 6: Final answer
    x = 239.73

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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.