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Finding the Fourth Proportional to 335.99, 461.05 and 323.71

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Solution

The fourth proportional to 335.99, 461.05 and 323.71 is: 444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.99 : 461.05 = 323.71 : x
  2. Step 2: Convert to fraction form
    335.99/461.05 = 323.71/x
  3. Step 3: Cross multiply
    335.99x = 461.05 × 323.71
  4. Step 4: Simplify right side
    335.99x = 149,244.53
  5. Step 5: Solve for x
    x = 149,244.53/335.99
  6. Step 6: Final answer
    x = 444.19

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Why These Related Problems?

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