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Finding the Fourth Proportional to 433.39, 650.13 and 144.87

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Solution

The fourth proportional to 433.39, 650.13 and 144.87 is: 217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 650.13 = 144.87 : x
  2. Step 2: Convert to fraction form
    433.39/650.13 = 144.87/x
  3. Step 3: Cross multiply
    433.39x = 650.13 × 144.87
  4. Step 4: Simplify right side
    433.39x = 94,183.61
  5. Step 5: Solve for x
    x = 94,183.61/433.39
  6. Step 6: Final answer
    x = 217.32

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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.