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Finding the Fourth Proportional to 625.80, 938.81 and 214.92

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Solution

The fourth proportional to 625.80, 938.81 and 214.92 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.80 : 938.81 = 214.92 : x
  2. Step 2: Convert to fraction form
    625.80/938.81 = 214.92/x
  3. Step 3: Cross multiply
    625.80x = 938.81 × 214.92
  4. Step 4: Simplify right side
    625.80x = 201,769.05
  5. Step 5: Solve for x
    x = 201,769.05/625.80
  6. Step 6: Final answer
    x = 322.42

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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.