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Finding the Fourth Proportional to 627.16, 865.46 and 347.39

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Solution

The fourth proportional to 627.16, 865.46 and 347.39 is: 479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 865.46 = 347.39 : x
  2. Step 2: Convert to fraction form
    627.16/865.46 = 347.39/x
  3. Step 3: Cross multiply
    627.16x = 865.46 × 347.39
  4. Step 4: Simplify right side
    627.16x = 300,646.09
  5. Step 5: Solve for x
    x = 300,646.09/627.16
  6. Step 6: Final answer
    x = 479.38

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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.