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Finding the Fourth Proportional to 627.15, 865.52 and 416.95

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Solution

The fourth proportional to 627.15, 865.52 and 416.95 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.15 : 865.52 = 416.95 : x
  2. Step 2: Convert to fraction form
    627.15/865.52 = 416.95/x
  3. Step 3: Cross multiply
    627.15x = 865.52 × 416.95
  4. Step 4: Simplify right side
    627.15x = 360,878.56
  5. Step 5: Solve for x
    x = 360,878.56/627.15
  6. Step 6: Final answer
    x = 575.43

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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.