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Finding the Fourth Proportional to 678.21, 935.82 and 394.65

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Solution

The fourth proportional to 678.21, 935.82 and 394.65 is: 544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.21 : 935.82 = 394.65 : x
  2. Step 2: Convert to fraction form
    678.21/935.82 = 394.65/x
  3. Step 3: Cross multiply
    678.21x = 935.82 × 394.65
  4. Step 4: Simplify right side
    678.21x = 369,321.36
  5. Step 5: Solve for x
    x = 369,321.36/678.21
  6. Step 6: Final answer
    x = 544.55

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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.