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Finding the Fourth Proportional to 611.42, 916.82 and 221.40

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Solution

The fourth proportional to 611.42, 916.82 and 221.40 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.42 : 916.82 = 221.40 : x
  2. Step 2: Convert to fraction form
    611.42/916.82 = 221.40/x
  3. Step 3: Cross multiply
    611.42x = 916.82 × 221.40
  4. Step 4: Simplify right side
    611.42x = 202,983.67
  5. Step 5: Solve for x
    x = 202,983.67/611.42
  6. Step 6: Final answer
    x = 331.99

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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.