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Finding the Fourth Proportional to 627.47, 865.94 and 347.73

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Solution

The fourth proportional to 627.47, 865.94 and 347.73 is: 479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.47 : 865.94 = 347.73 : x
  2. Step 2: Convert to fraction form
    627.47/865.94 = 347.73/x
  3. Step 3: Cross multiply
    627.47x = 865.94 × 347.73
  4. Step 4: Simplify right side
    627.47x = 301,111.58
  5. Step 5: Solve for x
    x = 301,111.58/627.47
  6. Step 6: Final answer
    x = 479.89

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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.