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Finding the Fourth Proportional to 625.05, 862.34 and 359.46

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Solution

The fourth proportional to 625.05, 862.34 and 359.46 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.05 : 862.34 = 359.46 : x
  2. Step 2: Convert to fraction form
    625.05/862.34 = 359.46/x
  3. Step 3: Cross multiply
    625.05x = 862.34 × 359.46
  4. Step 4: Simplify right side
    625.05x = 309,974.94
  5. Step 5: Solve for x
    x = 309,974.94/625.05
  6. Step 6: Final answer
    x = 495.92

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