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Finding the Fourth Proportional to 625.18, 937.52 and 214.24

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Solution

The fourth proportional to 625.18, 937.52 and 214.24 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.18 : 937.52 = 214.24 : x
  2. Step 2: Convert to fraction form
    625.18/937.52 = 214.24/x
  3. Step 3: Cross multiply
    625.18x = 937.52 × 214.24
  4. Step 4: Simplify right side
    625.18x = 200,854.28
  5. Step 5: Solve for x
    x = 200,854.28/625.18
  6. Step 6: Final answer
    x = 321.27

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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.