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Finding the Fourth Proportional to 611.36, 916.83 and 221.27

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Solution

The fourth proportional to 611.36, 916.83 and 221.27 is: 331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.36 : 916.83 = 221.27 : x
  2. Step 2: Convert to fraction form
    611.36/916.83 = 221.27/x
  3. Step 3: Cross multiply
    611.36x = 916.83 × 221.27
  4. Step 4: Simplify right side
    611.36x = 202,861.77
  5. Step 5: Solve for x
    x = 202,861.77/611.36
  6. Step 6: Final answer
    x = 331.82

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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.