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Finding the Fourth Proportional to 662.07, 913.65 and 367.33

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Solution

The fourth proportional to 662.07, 913.65 and 367.33 is: 506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.07 : 913.65 = 367.33 : x
  2. Step 2: Convert to fraction form
    662.07/913.65 = 367.33/x
  3. Step 3: Cross multiply
    662.07x = 913.65 × 367.33
  4. Step 4: Simplify right side
    662.07x = 335,611.05
  5. Step 5: Solve for x
    x = 335,611.05/662.07
  6. Step 6: Final answer
    x = 506.91

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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.