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Finding the Fourth Proportional to 433.96, 650.38 and 159.72

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Solution

The fourth proportional to 433.96, 650.38 and 159.72 is: 239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 650.38 = 159.72 : x
  2. Step 2: Convert to fraction form
    433.96/650.38 = 159.72/x
  3. Step 3: Cross multiply
    433.96x = 650.38 × 159.72
  4. Step 4: Simplify right side
    433.96x = 103,880.73
  5. Step 5: Solve for x
    x = 103,880.73/433.96
  6. Step 6: Final answer
    x = 239.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.