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Finding the Fourth Proportional to 652.42, 978.62 and 219.88

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Solution

The fourth proportional to 652.42, 978.62 and 219.88 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.42 : 978.62 = 219.88 : x
  2. Step 2: Convert to fraction form
    652.42/978.62 = 219.88/x
  3. Step 3: Cross multiply
    652.42x = 978.62 × 219.88
  4. Step 4: Simplify right side
    652.42x = 215,174.07
  5. Step 5: Solve for x
    x = 215,174.07/652.42
  6. Step 6: Final answer
    x = 329.81

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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.