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Finding the Fourth Proportional to 652.76, 979.29 and 219.91

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Solution

The fourth proportional to 652.76, 979.29 and 219.91 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 979.29 = 219.91 : x
  2. Step 2: Convert to fraction form
    652.76/979.29 = 219.91/x
  3. Step 3: Cross multiply
    652.76x = 979.29 × 219.91
  4. Step 4: Simplify right side
    652.76x = 215,355.66
  5. Step 5: Solve for x
    x = 215,355.66/652.76
  6. Step 6: Final answer
    x = 329.92

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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.