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Finding the Fourth Proportional to 678.50, 936.28 and 379.72

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Solution

The fourth proportional to 678.50, 936.28 and 379.72 is: 523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.50 : 936.28 = 379.72 : x
  2. Step 2: Convert to fraction form
    678.50/936.28 = 379.72/x
  3. Step 3: Cross multiply
    678.50x = 936.28 × 379.72
  4. Step 4: Simplify right side
    678.50x = 355,524.24
  5. Step 5: Solve for x
    x = 355,524.24/678.50
  6. Step 6: Final answer
    x = 523.99

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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.