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Finding the Fourth Proportional to 625.20, 937.80 and 214.30

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Solution

The fourth proportional to 625.20, 937.80 and 214.30 is: 321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.20 : 937.80 = 214.30 : x
  2. Step 2: Convert to fraction form
    625.20/937.80 = 214.30/x
  3. Step 3: Cross multiply
    625.20x = 937.80 × 214.30
  4. Step 4: Simplify right side
    625.20x = 200,970.54
  5. Step 5: Solve for x
    x = 200,970.54/625.20
  6. Step 6: Final answer
    x = 321.45

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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.