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Finding the Fourth Proportional to 653.95, 980.92 and 221.41

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Solution

The fourth proportional to 653.95, 980.92 and 221.41 is: 332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.95 : 980.92 = 221.41 : x
  2. Step 2: Convert to fraction form
    653.95/980.92 = 221.41/x
  3. Step 3: Cross multiply
    653.95x = 980.92 × 221.41
  4. Step 4: Simplify right side
    653.95x = 217,180.59
  5. Step 5: Solve for x
    x = 217,180.59/653.95
  6. Step 6: Final answer
    x = 332.11

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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.