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Finding the Fourth Proportional to 865.54, 1,297.39 and 378.46

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Solution

The fourth proportional to 865.54, 1,297.39 and 378.46 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.54 : 1,297.39 = 378.46 : x
  2. Step 2: Convert to fraction form
    865.54/1,297.39 = 378.46/x
  3. Step 3: Cross multiply
    865.54x = 1,297.39 × 378.46
  4. Step 4: Simplify right side
    865.54x = 491,010.22
  5. Step 5: Solve for x
    x = 491,010.22/865.54
  6. Step 6: Final answer
    x = 567.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.