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Finding the Fourth Proportional to 654.88, 982.34 and 222.07

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Solution

The fourth proportional to 654.88, 982.34 and 222.07 is: 333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 982.34 = 222.07 : x
  2. Step 2: Convert to fraction form
    654.88/982.34 = 222.07/x
  3. Step 3: Cross multiply
    654.88x = 982.34 × 222.07
  4. Step 4: Simplify right side
    654.88x = 218,142.22
  5. Step 5: Solve for x
    x = 218,142.22/654.88
  6. Step 6: Final answer
    x = 333.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.