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Finding the Fourth Proportional to 393.81, 544.23 and 323.76

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Solution

The fourth proportional to 393.81, 544.23 and 323.76 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.81 : 544.23 = 323.76 : x
  2. Step 2: Convert to fraction form
    393.81/544.23 = 323.76/x
  3. Step 3: Cross multiply
    393.81x = 544.23 × 323.76
  4. Step 4: Simplify right side
    393.81x = 176,199.90
  5. Step 5: Solve for x
    x = 176,199.90/393.81
  6. Step 6: Final answer
    x = 447.42

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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.