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Finding the Fourth Proportional to 662.30, 913.89 and 367.54

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Solution

The fourth proportional to 662.30, 913.89 and 367.54 is: 507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 913.89 = 367.54 : x
  2. Step 2: Convert to fraction form
    662.30/913.89 = 367.54/x
  3. Step 3: Cross multiply
    662.30x = 913.89 × 367.54
  4. Step 4: Simplify right side
    662.30x = 335,891.13
  5. Step 5: Solve for x
    x = 335,891.13/662.30
  6. Step 6: Final answer
    x = 507.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.