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Finding the Fourth Proportional to 610.90, 916.56 and 220.90

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Solution

The fourth proportional to 610.90, 916.56 and 220.90 is: 331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 916.56 = 220.90 : x
  2. Step 2: Convert to fraction form
    610.90/916.56 = 220.90/x
  3. Step 3: Cross multiply
    610.90x = 916.56 × 220.90
  4. Step 4: Simplify right side
    610.90x = 202,468.10
  5. Step 5: Solve for x
    x = 202,468.10/610.90
  6. Step 6: Final answer
    x = 331.43

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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.