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Finding the Fourth Proportional to 403.31, 605.34 and 220.46

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Solution

The fourth proportional to 403.31, 605.34 and 220.46 is: 330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.31 : 605.34 = 220.46 : x
  2. Step 2: Convert to fraction form
    403.31/605.34 = 220.46/x
  3. Step 3: Cross multiply
    403.31x = 605.34 × 220.46
  4. Step 4: Simplify right side
    403.31x = 133,450.23
  5. Step 5: Solve for x
    x = 133,450.23/403.31
  6. Step 6: Final answer
    x = 330.89

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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.