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Finding the Fourth Proportional to 678.09, 935.67 and 394.47

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Solution

The fourth proportional to 678.09, 935.67 and 394.47 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.09 : 935.67 = 394.47 : x
  2. Step 2: Convert to fraction form
    678.09/935.67 = 394.47/x
  3. Step 3: Cross multiply
    678.09x = 935.67 × 394.47
  4. Step 4: Simplify right side
    678.09x = 369,093.74
  5. Step 5: Solve for x
    x = 369,093.74/678.09
  6. Step 6: Final answer
    x = 544.31

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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.