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Finding the Fourth Proportional to 678.87, 936.92 and 380.23

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Solution

The fourth proportional to 678.87, 936.92 and 380.23 is: 524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 936.92 = 380.23 : x
  2. Step 2: Convert to fraction form
    678.87/936.92 = 380.23/x
  3. Step 3: Cross multiply
    678.87x = 936.92 × 380.23
  4. Step 4: Simplify right side
    678.87x = 356,245.09
  5. Step 5: Solve for x
    x = 356,245.09/678.87
  6. Step 6: Final answer
    x = 524.76

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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.