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Finding the Fourth Proportional to 626.06, 863.69 and 377.24

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Solution

The fourth proportional to 626.06, 863.69 and 377.24 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.06 : 863.69 = 377.24 : x
  2. Step 2: Convert to fraction form
    626.06/863.69 = 377.24/x
  3. Step 3: Cross multiply
    626.06x = 863.69 × 377.24
  4. Step 4: Simplify right side
    626.06x = 325,815.89
  5. Step 5: Solve for x
    x = 325,815.89/626.06
  6. Step 6: Final answer
    x = 520.42

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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.