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Finding the Fourth Proportional to 626.20, 864.10 and 377.44

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Solution

The fourth proportional to 626.20, 864.10 and 377.44 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.20 : 864.10 = 377.44 : x
  2. Step 2: Convert to fraction form
    626.20/864.10 = 377.44/x
  3. Step 3: Cross multiply
    626.20x = 864.10 × 377.44
  4. Step 4: Simplify right side
    626.20x = 326,145.90
  5. Step 5: Solve for x
    x = 326,145.90/626.20
  6. Step 6: Final answer
    x = 520.83

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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.