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Finding the Fourth Proportional to 625.34, 937.38 and 214.26

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Solution

The fourth proportional to 625.34, 937.38 and 214.26 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.34 : 937.38 = 214.26 : x
  2. Step 2: Convert to fraction form
    625.34/937.38 = 214.26/x
  3. Step 3: Cross multiply
    625.34x = 937.38 × 214.26
  4. Step 4: Simplify right side
    625.34x = 200,843.04
  5. Step 5: Solve for x
    x = 200,843.04/625.34
  6. Step 6: Final answer
    x = 321.17

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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.