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Finding the Fourth Proportional to 433.82, 650.27 and 216.95

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Solution

The fourth proportional to 433.82, 650.27 and 216.95 is: 325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.82 : 650.27 = 216.95 : x
  2. Step 2: Convert to fraction form
    433.82/650.27 = 216.95/x
  3. Step 3: Cross multiply
    433.82x = 650.27 × 216.95
  4. Step 4: Simplify right side
    433.82x = 141,071.74
  5. Step 5: Solve for x
    x = 141,071.74/433.82
  6. Step 6: Final answer
    x = 325.19

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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.