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Finding the Fourth Proportional to 627.14, 865.32 and 378.57

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Solution

The fourth proportional to 627.14, 865.32 and 378.57 is: 522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.14 : 865.32 = 378.57 : x
  2. Step 2: Convert to fraction form
    627.14/865.32 = 378.57/x
  3. Step 3: Cross multiply
    627.14x = 865.32 × 378.57
  4. Step 4: Simplify right side
    627.14x = 327,586.02
  5. Step 5: Solve for x
    x = 327,586.02/627.14
  6. Step 6: Final answer
    x = 522.35

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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.