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Finding the Fourth Proportional to 574.92, 862.34 and 142.07

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Solution

The fourth proportional to 574.92, 862.34 and 142.07 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.92 : 862.34 = 142.07 : x
  2. Step 2: Convert to fraction form
    574.92/862.34 = 142.07/x
  3. Step 3: Cross multiply
    574.92x = 862.34 × 142.07
  4. Step 4: Simplify right side
    574.92x = 122,507.62
  5. Step 5: Solve for x
    x = 122,507.62/574.92
  6. Step 6: Final answer
    x = 213.09

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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.