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Finding the Fourth Proportional to 652.88, 979.34 and 220.04

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Solution

The fourth proportional to 652.88, 979.34 and 220.04 is: 330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 979.34 = 220.04 : x
  2. Step 2: Convert to fraction form
    652.88/979.34 = 220.04/x
  3. Step 3: Cross multiply
    652.88x = 979.34 × 220.04
  4. Step 4: Simplify right side
    652.88x = 215,493.97
  5. Step 5: Solve for x
    x = 215,493.97/652.88
  6. Step 6: Final answer
    x = 330.07

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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.