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Finding the Fourth Proportional to 393.95, 544.41 and 323.90

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Solution

The fourth proportional to 393.95, 544.41 and 323.90 is: 447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.95 : 544.41 = 323.90 : x
  2. Step 2: Convert to fraction form
    393.95/544.41 = 323.90/x
  3. Step 3: Cross multiply
    393.95x = 544.41 × 323.90
  4. Step 4: Simplify right side
    393.95x = 176,331.68
  5. Step 5: Solve for x
    x = 176,331.68/393.95
  6. Step 6: Final answer
    x = 447.60

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Why These Related Problems?

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