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Finding the Fourth Proportional to 323.07, 445.56 and 290.43

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Solution

The fourth proportional to 323.07, 445.56 and 290.43 is: 400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.07 : 445.56 = 290.43 : x
  2. Step 2: Convert to fraction form
    323.07/445.56 = 290.43/x
  3. Step 3: Cross multiply
    323.07x = 445.56 × 290.43
  4. Step 4: Simplify right side
    323.07x = 129,405.10
  5. Step 5: Solve for x
    x = 129,405.10/323.07
  6. Step 6: Final answer
    x = 400.55

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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.