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Finding the Fourth Proportional to 662.25, 913.96 and 367.57

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Solution

The fourth proportional to 662.25, 913.96 and 367.57 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 913.96 = 367.57 : x
  2. Step 2: Convert to fraction form
    662.25/913.96 = 367.57/x
  3. Step 3: Cross multiply
    662.25x = 913.96 × 367.57
  4. Step 4: Simplify right side
    662.25x = 335,944.28
  5. Step 5: Solve for x
    x = 335,944.28/662.25
  6. Step 6: Final answer
    x = 507.28

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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.