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Finding the Fourth Proportional to 654.72, 982.16 and 221.88

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Solution

The fourth proportional to 654.72, 982.16 and 221.88 is: 332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.72 : 982.16 = 221.88 : x
  2. Step 2: Convert to fraction form
    654.72/982.16 = 221.88/x
  3. Step 3: Cross multiply
    654.72x = 982.16 × 221.88
  4. Step 4: Simplify right side
    654.72x = 217,921.66
  5. Step 5: Solve for x
    x = 217,921.66/654.72
  6. Step 6: Final answer
    x = 332.85

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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.