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Finding the Fourth Proportional to 678.25, 935.94 and 398.44

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Solution

The fourth proportional to 678.25, 935.94 and 398.44 is: 549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.25 : 935.94 = 398.44 : x
  2. Step 2: Convert to fraction form
    678.25/935.94 = 398.44/x
  3. Step 3: Cross multiply
    678.25x = 935.94 × 398.44
  4. Step 4: Simplify right side
    678.25x = 372,915.93
  5. Step 5: Solve for x
    x = 372,915.93/678.25
  6. Step 6: Final answer
    x = 549.82

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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.