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Finding the Fourth Proportional to 323.57, 444.16 and 294.41

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Solution

The fourth proportional to 323.57, 444.16 and 294.41 is: 404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.57 : 444.16 = 294.41 : x
  2. Step 2: Convert to fraction form
    323.57/444.16 = 294.41/x
  3. Step 3: Cross multiply
    323.57x = 444.16 × 294.41
  4. Step 4: Simplify right side
    323.57x = 130,763.67
  5. Step 5: Solve for x
    x = 130,763.67/323.57
  6. Step 6: Final answer
    x = 404.13

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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.