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Finding the Fourth Proportional to 627.34, 865.80 and 365.44

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Solution

The fourth proportional to 627.34, 865.80 and 365.44 is: 504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.34 : 865.80 = 365.44 : x
  2. Step 2: Convert to fraction form
    627.34/865.80 = 365.44/x
  3. Step 3: Cross multiply
    627.34x = 865.80 × 365.44
  4. Step 4: Simplify right side
    627.34x = 316,397.95
  5. Step 5: Solve for x
    x = 316,397.95/627.34
  6. Step 6: Final answer
    x = 504.35

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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.