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Finding the Fourth Proportional to 625.23, 937.94 and 214.47

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Solution

The fourth proportional to 625.23, 937.94 and 214.47 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.23 : 937.94 = 214.47 : x
  2. Step 2: Convert to fraction form
    625.23/937.94 = 214.47/x
  3. Step 3: Cross multiply
    625.23x = 937.94 × 214.47
  4. Step 4: Simplify right side
    625.23x = 201,158.92
  5. Step 5: Solve for x
    x = 201,158.92/625.23
  6. Step 6: Final answer
    x = 321.74

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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.