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Finding the Fourth Proportional to 625.49, 863.14 and 359.74

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Solution

The fourth proportional to 625.49, 863.14 and 359.74 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.49 : 863.14 = 359.74 : x
  2. Step 2: Convert to fraction form
    625.49/863.14 = 359.74/x
  3. Step 3: Cross multiply
    625.49x = 863.14 × 359.74
  4. Step 4: Simplify right side
    625.49x = 310,505.98
  5. Step 5: Solve for x
    x = 310,505.98/625.49
  6. Step 6: Final answer
    x = 496.42

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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.