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Finding the Fourth Proportional to 627.34, 865.75 and 347.63

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Solution

The fourth proportional to 627.34, 865.75 and 347.63 is: 479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.34 : 865.75 = 347.63 : x
  2. Step 2: Convert to fraction form
    627.34/865.75 = 347.63/x
  3. Step 3: Cross multiply
    627.34x = 865.75 × 347.63
  4. Step 4: Simplify right side
    627.34x = 300,955.47
  5. Step 5: Solve for x
    x = 300,955.47/627.34
  6. Step 6: Final answer
    x = 479.73

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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.