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Finding the Fourth Proportional to 433.26, 649.96 and 159.74

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Solution

The fourth proportional to 433.26, 649.96 and 159.74 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 649.96 = 159.74 : x
  2. Step 2: Convert to fraction form
    433.26/649.96 = 159.74/x
  3. Step 3: Cross multiply
    433.26x = 649.96 × 159.74
  4. Step 4: Simplify right side
    433.26x = 103,824.61
  5. Step 5: Solve for x
    x = 103,824.61/433.26
  6. Step 6: Final answer
    x = 239.64

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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.