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Finding the Fourth Proportional to 611.12, 916.79 and 221.17

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Solution

The fourth proportional to 611.12, 916.79 and 221.17 is: 331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.12 : 916.79 = 221.17 : x
  2. Step 2: Convert to fraction form
    611.12/916.79 = 221.17/x
  3. Step 3: Cross multiply
    611.12x = 916.79 × 221.17
  4. Step 4: Simplify right side
    611.12x = 202,763.05
  5. Step 5: Solve for x
    x = 202,763.05/611.12
  6. Step 6: Final answer
    x = 331.79

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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.