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Finding the Fourth Proportional to 654.76, 982.16 and 221.92

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Solution

The fourth proportional to 654.76, 982.16 and 221.92 is: 332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 982.16 = 221.92 : x
  2. Step 2: Convert to fraction form
    654.76/982.16 = 221.92/x
  3. Step 3: Cross multiply
    654.76x = 982.16 × 221.92
  4. Step 4: Simplify right side
    654.76x = 217,960.95
  5. Step 5: Solve for x
    x = 217,960.95/654.76
  6. Step 6: Final answer
    x = 332.89

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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.