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Finding the Fourth Proportional to 678.75, 936.62 and 398.99

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Solution

The fourth proportional to 678.75, 936.62 and 398.99 is: 550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 936.62 = 398.99 : x
  2. Step 2: Convert to fraction form
    678.75/936.62 = 398.99/x
  3. Step 3: Cross multiply
    678.75x = 936.62 × 398.99
  4. Step 4: Simplify right side
    678.75x = 373,700.02
  5. Step 5: Solve for x
    x = 373,700.02/678.75
  6. Step 6: Final answer
    x = 550.57

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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.