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Finding the Fourth Proportional to 627.45, 865.83 and 378.69

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Solution

The fourth proportional to 627.45, 865.83 and 378.69 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.45 : 865.83 = 378.69 : x
  2. Step 2: Convert to fraction form
    627.45/865.83 = 378.69/x
  3. Step 3: Cross multiply
    627.45x = 865.83 × 378.69
  4. Step 4: Simplify right side
    627.45x = 327,881.16
  5. Step 5: Solve for x
    x = 327,881.16/627.45
  6. Step 6: Final answer
    x = 522.56

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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.