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Finding the Fourth Proportional to 626.57, 940.21 and 349.14

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Solution

The fourth proportional to 626.57, 940.21 and 349.14 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.57 : 940.21 = 349.14 : x
  2. Step 2: Convert to fraction form
    626.57/940.21 = 349.14/x
  3. Step 3: Cross multiply
    626.57x = 940.21 × 349.14
  4. Step 4: Simplify right side
    626.57x = 328,264.05
  5. Step 5: Solve for x
    x = 328,264.05/626.57
  6. Step 6: Final answer
    x = 523.91

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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.