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Finding the Fourth Proportional to 627, 940.62 and 285

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Solution

The fourth proportional to 627, 940.62 and 285 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    627 : 940.62 = 285 : x
  2. Step 2: Convert to fraction form
    627/940.62 = 285/x
  3. Step 3: Cross multiply
    627x = 940.62 × 285
  4. Step 4: Simplify right side
    627x = 268,076.70
  5. Step 5: Solve for x
    x = 268,076.70/627
  6. Step 6: Final answer
    x = 427.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.