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Finding the Fourth Proportional to 653.84, 980.90 and 221.28

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Solution

The fourth proportional to 653.84, 980.90 and 221.28 is: 331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 980.90 = 221.28 : x
  2. Step 2: Convert to fraction form
    653.84/980.90 = 221.28/x
  3. Step 3: Cross multiply
    653.84x = 980.90 × 221.28
  4. Step 4: Simplify right side
    653.84x = 217,053.55
  5. Step 5: Solve for x
    x = 217,053.55/653.84
  6. Step 6: Final answer
    x = 331.97

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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.