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Finding the Fourth Proportional to 652.36, 978.44 and 219.46

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Solution

The fourth proportional to 652.36, 978.44 and 219.46 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.36 : 978.44 = 219.46 : x
  2. Step 2: Convert to fraction form
    652.36/978.44 = 219.46/x
  3. Step 3: Cross multiply
    652.36x = 978.44 × 219.46
  4. Step 4: Simplify right side
    652.36x = 214,728.44
  5. Step 5: Solve for x
    x = 214,728.44/652.36
  6. Step 6: Final answer
    x = 329.16

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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.