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Finding the Fourth Proportional to 627.92, 866.46 and 375.83

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Solution

The fourth proportional to 627.92, 866.46 and 375.83 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 866.46 = 375.83 : x
  2. Step 2: Convert to fraction form
    627.92/866.46 = 375.83/x
  3. Step 3: Cross multiply
    627.92x = 866.46 × 375.83
  4. Step 4: Simplify right side
    627.92x = 325,641.66
  5. Step 5: Solve for x
    x = 325,641.66/627.92
  6. Step 6: Final answer
    x = 518.60

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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.