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Finding the Fourth Proportional to 678.82, 936.75 and 399.10

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Solution

The fourth proportional to 678.82, 936.75 and 399.10 is: 550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 936.75 = 399.10 : x
  2. Step 2: Convert to fraction form
    678.82/936.75 = 399.10/x
  3. Step 3: Cross multiply
    678.82x = 936.75 × 399.10
  4. Step 4: Simplify right side
    678.82x = 373,856.93
  5. Step 5: Solve for x
    x = 373,856.93/678.82
  6. Step 6: Final answer
    x = 550.75

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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.