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Finding the Fourth Proportional to 652.98, 979.53 and 220.14

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Solution

The fourth proportional to 652.98, 979.53 and 220.14 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 979.53 = 220.14 : x
  2. Step 2: Convert to fraction form
    652.98/979.53 = 220.14/x
  3. Step 3: Cross multiply
    652.98x = 979.53 × 220.14
  4. Step 4: Simplify right side
    652.98x = 215,633.73
  5. Step 5: Solve for x
    x = 215,633.73/652.98
  6. Step 6: Final answer
    x = 330.23

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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.