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Finding the Fourth Proportional to 678.96, 936.66 and 399.21

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Solution

The fourth proportional to 678.96, 936.66 and 399.21 is: 550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 936.66 = 399.21 : x
  2. Step 2: Convert to fraction form
    678.96/936.66 = 399.21/x
  3. Step 3: Cross multiply
    678.96x = 936.66 × 399.21
  4. Step 4: Simplify right side
    678.96x = 373,924.04
  5. Step 5: Solve for x
    x = 373,924.04/678.96
  6. Step 6: Final answer
    x = 550.73

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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.