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Finding the Fourth Proportional to 652.20, 978.24 and 219.28

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Solution

The fourth proportional to 652.20, 978.24 and 219.28 is: 328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.20 : 978.24 = 219.28 : x
  2. Step 2: Convert to fraction form
    652.20/978.24 = 219.28/x
  3. Step 3: Cross multiply
    652.20x = 978.24 × 219.28
  4. Step 4: Simplify right side
    652.20x = 214,508.47
  5. Step 5: Solve for x
    x = 214,508.47/652.20
  6. Step 6: Final answer
    x = 328.90

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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.