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Finding the Fourth Proportional to 625.30, 937.74 and 214.42

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Solution

The fourth proportional to 625.30, 937.74 and 214.42 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.30 : 937.74 = 214.42 : x
  2. Step 2: Convert to fraction form
    625.30/937.74 = 214.42/x
  3. Step 3: Cross multiply
    625.30x = 937.74 × 214.42
  4. Step 4: Simplify right side
    625.30x = 201,070.21
  5. Step 5: Solve for x
    x = 201,070.21/625.30
  6. Step 6: Final answer
    x = 321.56

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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.