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Finding the Fourth Proportional to 433.67, 650.57 and 159.71

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Solution

The fourth proportional to 433.67, 650.57 and 159.71 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 650.57 = 159.71 : x
  2. Step 2: Convert to fraction form
    433.67/650.57 = 159.71/x
  3. Step 3: Cross multiply
    433.67x = 650.57 × 159.71
  4. Step 4: Simplify right side
    433.67x = 103,903.36
  5. Step 5: Solve for x
    x = 103,903.36/433.67
  6. Step 6: Final answer
    x = 239.59

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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.