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Finding the Fourth Proportional to 678.34, 935.37 and 481.78

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Solution

The fourth proportional to 678.34, 935.37 and 481.78 is: 664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 935.37 = 481.78 : x
  2. Step 2: Convert to fraction form
    678.34/935.37 = 481.78/x
  3. Step 3: Cross multiply
    678.34x = 935.37 × 481.78
  4. Step 4: Simplify right side
    678.34x = 450,642.56
  5. Step 5: Solve for x
    x = 450,642.56/678.34
  6. Step 6: Final answer
    x = 664.33

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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.