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Finding the Fourth Proportional to 461.47, 635.75 and 378.44

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Solution

The fourth proportional to 461.47, 635.75 and 378.44 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 635.75 = 378.44 : x
  2. Step 2: Convert to fraction form
    461.47/635.75 = 378.44/x
  3. Step 3: Cross multiply
    461.47x = 635.75 × 378.44
  4. Step 4: Simplify right side
    461.47x = 240,593.23
  5. Step 5: Solve for x
    x = 240,593.23/461.47
  6. Step 6: Final answer
    x = 521.36

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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.