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Finding the Fourth Proportional to 375.75, 518.31 and 346.37

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Solution

The fourth proportional to 375.75, 518.31 and 346.37 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 518.31 = 346.37 : x
  2. Step 2: Convert to fraction form
    375.75/518.31 = 346.37/x
  3. Step 3: Cross multiply
    375.75x = 518.31 × 346.37
  4. Step 4: Simplify right side
    375.75x = 179,524.44
  5. Step 5: Solve for x
    x = 179,524.44/375.75
  6. Step 6: Final answer
    x = 477.78

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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.