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Finding the Fourth Proportional to 626.94, 865.14 and 378.14

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Solution

The fourth proportional to 626.94, 865.14 and 378.14 is: 521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.94 : 865.14 = 378.14 : x
  2. Step 2: Convert to fraction form
    626.94/865.14 = 378.14/x
  3. Step 3: Cross multiply
    626.94x = 865.14 × 378.14
  4. Step 4: Simplify right side
    626.94x = 327,144.04
  5. Step 5: Solve for x
    x = 327,144.04/626.94
  6. Step 6: Final answer
    x = 521.81

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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.