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Finding the Fourth Proportional to 356.09, 490.61 and 323.33

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Solution

The fourth proportional to 356.09, 490.61 and 323.33 is: 445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 490.61 = 323.33 : x
  2. Step 2: Convert to fraction form
    356.09/490.61 = 323.33/x
  3. Step 3: Cross multiply
    356.09x = 490.61 × 323.33
  4. Step 4: Simplify right side
    356.09x = 158,624.86
  5. Step 5: Solve for x
    x = 158,624.86/356.09
  6. Step 6: Final answer
    x = 445.47

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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.