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Finding the Fourth Proportional to 678.47, 936.30 and 367.97

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Solution

The fourth proportional to 678.47, 936.30 and 367.97 is: 507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 936.30 = 367.97 : x
  2. Step 2: Convert to fraction form
    678.47/936.30 = 367.97/x
  3. Step 3: Cross multiply
    678.47x = 936.30 × 367.97
  4. Step 4: Simplify right side
    678.47x = 344,530.31
  5. Step 5: Solve for x
    x = 344,530.31/678.47
  6. Step 6: Final answer
    x = 507.80

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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.