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Finding the Fourth Proportional to 653.23, 980 and 220.39

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Solution

The fourth proportional to 653.23, 980 and 220.39 is: 330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 980 = 220.39 : x
  2. Step 2: Convert to fraction form
    653.23/980 = 220.39/x
  3. Step 3: Cross multiply
    653.23x = 980 × 220.39
  4. Step 4: Simplify right side
    653.23x = 215,982.20
  5. Step 5: Solve for x
    x = 215,982.20/653.23
  6. Step 6: Final answer
    x = 330.64

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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.