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Finding the Fourth Proportional to 653.18, 979.65 and 220.22

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Solution

The fourth proportional to 653.18, 979.65 and 220.22 is: 330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 979.65 = 220.22 : x
  2. Step 2: Convert to fraction form
    653.18/979.65 = 220.22/x
  3. Step 3: Cross multiply
    653.18x = 979.65 × 220.22
  4. Step 4: Simplify right side
    653.18x = 215,738.52
  5. Step 5: Solve for x
    x = 215,738.52/653.18
  6. Step 6: Final answer
    x = 330.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.