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Finding the Fourth Proportional to 678.26, 936.07 and 398.49

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Solution

The fourth proportional to 678.26, 936.07 and 398.49 is: 549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.26 : 936.07 = 398.49 : x
  2. Step 2: Convert to fraction form
    678.26/936.07 = 398.49/x
  3. Step 3: Cross multiply
    678.26x = 936.07 × 398.49
  4. Step 4: Simplify right side
    678.26x = 373,015.29
  5. Step 5: Solve for x
    x = 373,015.29/678.26
  6. Step 6: Final answer
    x = 549.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.