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Finding the Fourth Proportional to 433.83, 650.82 and 217.41

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Solution

The fourth proportional to 433.83, 650.82 and 217.41 is: 326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.83 : 650.82 = 217.41 : x
  2. Step 2: Convert to fraction form
    433.83/650.82 = 217.41/x
  3. Step 3: Cross multiply
    433.83x = 650.82 × 217.41
  4. Step 4: Simplify right side
    433.83x = 141,494.78
  5. Step 5: Solve for x
    x = 141,494.78/433.83
  6. Step 6: Final answer
    x = 326.15

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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.