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Finding the Fourth Proportional to 662.29, 913.96 and 367.56

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Solution

The fourth proportional to 662.29, 913.96 and 367.56 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 913.96 = 367.56 : x
  2. Step 2: Convert to fraction form
    662.29/913.96 = 367.56/x
  3. Step 3: Cross multiply
    662.29x = 913.96 × 367.56
  4. Step 4: Simplify right side
    662.29x = 335,935.14
  5. Step 5: Solve for x
    x = 335,935.14/662.29
  6. Step 6: Final answer
    x = 507.23

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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.