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Finding the Fourth Proportional to 625.78, 863.46 and 426.77

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Solution

The fourth proportional to 625.78, 863.46 and 426.77 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 863.46 = 426.77 : x
  2. Step 2: Convert to fraction form
    625.78/863.46 = 426.77/x
  3. Step 3: Cross multiply
    625.78x = 863.46 × 426.77
  4. Step 4: Simplify right side
    625.78x = 368,497.74
  5. Step 5: Solve for x
    x = 368,497.74/625.78
  6. Step 6: Final answer
    x = 588.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.