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Finding the Fourth Proportional to 652.56, 978.96 and 219.76

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Solution

The fourth proportional to 652.56, 978.96 and 219.76 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 978.96 = 219.76 : x
  2. Step 2: Convert to fraction form
    652.56/978.96 = 219.76/x
  3. Step 3: Cross multiply
    652.56x = 978.96 × 219.76
  4. Step 4: Simplify right side
    652.56x = 215,136.25
  5. Step 5: Solve for x
    x = 215,136.25/652.56
  6. Step 6: Final answer
    x = 329.68

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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.