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Finding the Fourth Proportional to 662.05, 913.64 and 367.31

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Solution

The fourth proportional to 662.05, 913.64 and 367.31 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.05 : 913.64 = 367.31 : x
  2. Step 2: Convert to fraction form
    662.05/913.64 = 367.31/x
  3. Step 3: Cross multiply
    662.05x = 913.64 × 367.31
  4. Step 4: Simplify right side
    662.05x = 335,589.11
  5. Step 5: Solve for x
    x = 335,589.11/662.05
  6. Step 6: Final answer
    x = 506.89

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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.