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Finding the Fourth Proportional to 741.36, 1,022.97 and 422.30

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Solution

The fourth proportional to 741.36, 1,022.97 and 422.30 is: 582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.36 : 1,022.97 = 422.30 : x
  2. Step 2: Convert to fraction form
    741.36/1,022.97 = 422.30/x
  3. Step 3: Cross multiply
    741.36x = 1,022.97 × 422.30
  4. Step 4: Simplify right side
    741.36x = 432,000.23
  5. Step 5: Solve for x
    x = 432,000.23/741.36
  6. Step 6: Final answer
    x = 582.71

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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.