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Finding the Fourth Proportional to 433.44, 650.34 and 217.26

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Solution

The fourth proportional to 433.44, 650.34 and 217.26 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 650.34 = 217.26 : x
  2. Step 2: Convert to fraction form
    433.44/650.34 = 217.26/x
  3. Step 3: Cross multiply
    433.44x = 650.34 × 217.26
  4. Step 4: Simplify right side
    433.44x = 141,292.87
  5. Step 5: Solve for x
    x = 141,292.87/433.44
  6. Step 6: Final answer
    x = 325.98

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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.