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Finding the Fourth Proportional to 627.32, 865.38 and 378.50

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Solution

The fourth proportional to 627.32, 865.38 and 378.50 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.32 : 865.38 = 378.50 : x
  2. Step 2: Convert to fraction form
    627.32/865.38 = 378.50/x
  3. Step 3: Cross multiply
    627.32x = 865.38 × 378.50
  4. Step 4: Simplify right side
    627.32x = 327,546.33
  5. Step 5: Solve for x
    x = 327,546.33/627.32
  6. Step 6: Final answer
    x = 522.14

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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.