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Finding the Fourth Proportional to 610.56, 914.20 and 321.38

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Solution

The fourth proportional to 610.56, 914.20 and 321.38 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 914.20 = 321.38 : x
  2. Step 2: Convert to fraction form
    610.56/914.20 = 321.38/x
  3. Step 3: Cross multiply
    610.56x = 914.20 × 321.38
  4. Step 4: Simplify right side
    610.56x = 293,805.60
  5. Step 5: Solve for x
    x = 293,805.60/610.56
  6. Step 6: Final answer
    x = 481.21

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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.