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Finding the Fourth Proportional to 627.50, 866.01 and 394.58

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Solution

The fourth proportional to 627.50, 866.01 and 394.58 is: 544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 866.01 = 394.58 : x
  2. Step 2: Convert to fraction form
    627.50/866.01 = 394.58/x
  3. Step 3: Cross multiply
    627.50x = 866.01 × 394.58
  4. Step 4: Simplify right side
    627.50x = 341,710.23
  5. Step 5: Solve for x
    x = 341,710.23/627.50
  6. Step 6: Final answer
    x = 544.56

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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.