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Finding the Fourth Proportional to 625.46, 863.13 and 359.83

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Solution

The fourth proportional to 625.46, 863.13 and 359.83 is: 496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.46 : 863.13 = 359.83 : x
  2. Step 2: Convert to fraction form
    625.46/863.13 = 359.83/x
  3. Step 3: Cross multiply
    625.46x = 863.13 × 359.83
  4. Step 4: Simplify right side
    625.46x = 310,575.75
  5. Step 5: Solve for x
    x = 310,575.75/625.46
  6. Step 6: Final answer
    x = 496.56

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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.