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Finding the Fourth Proportional to 662.69, 914.49 and 367.97

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Solution

The fourth proportional to 662.69, 914.49 and 367.97 is: 507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.69 : 914.49 = 367.97 : x
  2. Step 2: Convert to fraction form
    662.69/914.49 = 367.97/x
  3. Step 3: Cross multiply
    662.69x = 914.49 × 367.97
  4. Step 4: Simplify right side
    662.69x = 336,500.31
  5. Step 5: Solve for x
    x = 336,500.31/662.69
  6. Step 6: Final answer
    x = 507.78

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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.