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Finding the Fourth Proportional to 627.98, 866.81 and 441.51

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Solution

The fourth proportional to 627.98, 866.81 and 441.51 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 866.81 = 441.51 : x
  2. Step 2: Convert to fraction form
    627.98/866.81 = 441.51/x
  3. Step 3: Cross multiply
    627.98x = 866.81 × 441.51
  4. Step 4: Simplify right side
    627.98x = 382,703.08
  5. Step 5: Solve for x
    x = 382,703.08/627.98
  6. Step 6: Final answer
    x = 609.42

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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.