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Finding the Fourth Proportional to 654.95, 982.40 and 222.11

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Solution

The fourth proportional to 654.95, 982.40 and 222.11 is: 333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 982.40 = 222.11 : x
  2. Step 2: Convert to fraction form
    654.95/982.40 = 222.11/x
  3. Step 3: Cross multiply
    654.95x = 982.40 × 222.11
  4. Step 4: Simplify right side
    654.95x = 218,194.84
  5. Step 5: Solve for x
    x = 218,194.84/654.95
  6. Step 6: Final answer
    x = 333.15

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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.