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Finding the Fourth Proportional to 653.39, 980.18 and 220.44

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Solution

The fourth proportional to 653.39, 980.18 and 220.44 is: 330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.39 : 980.18 = 220.44 : x
  2. Step 2: Convert to fraction form
    653.39/980.18 = 220.44/x
  3. Step 3: Cross multiply
    653.39x = 980.18 × 220.44
  4. Step 4: Simplify right side
    653.39x = 216,069.78
  5. Step 5: Solve for x
    x = 216,069.78/653.39
  6. Step 6: Final answer
    x = 330.69

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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.