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Finding the Fourth Proportional to 368.80, 506.23 and 326.43

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Solution

The fourth proportional to 368.80, 506.23 and 326.43 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.80 : 506.23 = 326.43 : x
  2. Step 2: Convert to fraction form
    368.80/506.23 = 326.43/x
  3. Step 3: Cross multiply
    368.80x = 506.23 × 326.43
  4. Step 4: Simplify right side
    368.80x = 165,247.84
  5. Step 5: Solve for x
    x = 165,247.84/368.80
  6. Step 6: Final answer
    x = 448.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.