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Finding the Fourth Proportional to 625.82, 938.19 and 278.84

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Solution

The fourth proportional to 625.82, 938.19 and 278.84 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 938.19 = 278.84 : x
  2. Step 2: Convert to fraction form
    625.82/938.19 = 278.84/x
  3. Step 3: Cross multiply
    625.82x = 938.19 × 278.84
  4. Step 4: Simplify right side
    625.82x = 261,604.90
  5. Step 5: Solve for x
    x = 261,604.90/625.82
  6. Step 6: Final answer
    x = 418.02

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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.