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Finding the Fourth Proportional to 299.34, 412.89 and 229.41

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Solution

The fourth proportional to 299.34, 412.89 and 229.41 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 412.89 = 229.41 : x
  2. Step 2: Convert to fraction form
    299.34/412.89 = 229.41/x
  3. Step 3: Cross multiply
    299.34x = 412.89 × 229.41
  4. Step 4: Simplify right side
    299.34x = 94,721.09
  5. Step 5: Solve for x
    x = 94,721.09/299.34
  6. Step 6: Final answer
    x = 316.43

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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.