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Finding the Fourth Proportional to 433.52, 650.28 and 159.46

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Solution

The fourth proportional to 433.52, 650.28 and 159.46 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.52 : 650.28 = 159.46 : x
  2. Step 2: Convert to fraction form
    433.52/650.28 = 159.46/x
  3. Step 3: Cross multiply
    433.52x = 650.28 × 159.46
  4. Step 4: Simplify right side
    433.52x = 103,692.02
  5. Step 5: Solve for x
    x = 103,692.02/433.52
  6. Step 6: Final answer
    x = 239.19

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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.