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Finding the Fourth Proportional to 653.14, 979.80 and 220.30

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Solution

The fourth proportional to 653.14, 979.80 and 220.30 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 979.80 = 220.30 : x
  2. Step 2: Convert to fraction form
    653.14/979.80 = 220.30/x
  3. Step 3: Cross multiply
    653.14x = 979.80 × 220.30
  4. Step 4: Simplify right side
    653.14x = 215,849.94
  5. Step 5: Solve for x
    x = 215,849.94/653.14
  6. Step 6: Final answer
    x = 330.48

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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.