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Finding the Fourth Proportional to 678.28, 936.03 and 367.78

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Solution

The fourth proportional to 678.28, 936.03 and 367.78 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 936.03 = 367.78 : x
  2. Step 2: Convert to fraction form
    678.28/936.03 = 367.78/x
  3. Step 3: Cross multiply
    678.28x = 936.03 × 367.78
  4. Step 4: Simplify right side
    678.28x = 344,253.11
  5. Step 5: Solve for x
    x = 344,253.11/678.28
  6. Step 6: Final answer
    x = 507.54

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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.