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Finding the Fourth Proportional to 625.28, 862.94 and 359.81

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Solution

The fourth proportional to 625.28, 862.94 and 359.81 is: 496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.28 : 862.94 = 359.81 : x
  2. Step 2: Convert to fraction form
    625.28/862.94 = 359.81/x
  3. Step 3: Cross multiply
    625.28x = 862.94 × 359.81
  4. Step 4: Simplify right side
    625.28x = 310,489.23
  5. Step 5: Solve for x
    x = 310,489.23/625.28
  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.