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Finding the Fourth Proportional to 652.19, 978.35 and 219.38

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Solution

The fourth proportional to 652.19, 978.35 and 219.38 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 978.35 = 219.38 : x
  2. Step 2: Convert to fraction form
    652.19/978.35 = 219.38/x
  3. Step 3: Cross multiply
    652.19x = 978.35 × 219.38
  4. Step 4: Simplify right side
    652.19x = 214,624.43
  5. Step 5: Solve for x
    x = 214,624.43/652.19
  6. Step 6: Final answer
    x = 329.09

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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.