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Finding the Fourth Proportional to 627.78, 866.34 and 379.08

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Solution

The fourth proportional to 627.78, 866.34 and 379.08 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.78 : 866.34 = 379.08 : x
  2. Step 2: Convert to fraction form
    627.78/866.34 = 379.08/x
  3. Step 3: Cross multiply
    627.78x = 866.34 × 379.08
  4. Step 4: Simplify right side
    627.78x = 328,412.17
  5. Step 5: Solve for x
    x = 328,412.17/627.78
  6. Step 6: Final answer
    x = 523.13

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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.