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Finding the Fourth Proportional to 653.09, 979.83 and 220.28

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Solution

The fourth proportional to 653.09, 979.83 and 220.28 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.09 : 979.83 = 220.28 : x
  2. Step 2: Convert to fraction form
    653.09/979.83 = 220.28/x
  3. Step 3: Cross multiply
    653.09x = 979.83 × 220.28
  4. Step 4: Simplify right side
    653.09x = 215,832.05
  5. Step 5: Solve for x
    x = 215,832.05/653.09
  6. Step 6: Final answer
    x = 330.48

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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.