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Finding the Fourth Proportional to 626.91, 865.26 and 378.25

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Solution

The fourth proportional to 626.91, 865.26 and 378.25 is: 522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.91 : 865.26 = 378.25 : x
  2. Step 2: Convert to fraction form
    626.91/865.26 = 378.25/x
  3. Step 3: Cross multiply
    626.91x = 865.26 × 378.25
  4. Step 4: Simplify right side
    626.91x = 327,284.60
  5. Step 5: Solve for x
    x = 327,284.60/626.91
  6. Step 6: Final answer
    x = 522.06

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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.