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Finding the Fourth Proportional to 625.63, 937.41 and 214.54

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Solution

The fourth proportional to 625.63, 937.41 and 214.54 is: 321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.63 : 937.41 = 214.54 : x
  2. Step 2: Convert to fraction form
    625.63/937.41 = 214.54/x
  3. Step 3: Cross multiply
    625.63x = 937.41 × 214.54
  4. Step 4: Simplify right side
    625.63x = 201,111.94
  5. Step 5: Solve for x
    x = 201,111.94/625.63
  6. Step 6: Final answer
    x = 321.46

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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.