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Finding the Fourth Proportional to 626.46, 940.23 and 338.10

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Solution

The fourth proportional to 626.46, 940.23 and 338.10 is: 507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.46 : 940.23 = 338.10 : x
  2. Step 2: Convert to fraction form
    626.46/940.23 = 338.10/x
  3. Step 3: Cross multiply
    626.46x = 940.23 × 338.10
  4. Step 4: Simplify right side
    626.46x = 317,891.76
  5. Step 5: Solve for x
    x = 317,891.76/626.46
  6. Step 6: Final answer
    x = 507.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.