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Finding the Fourth Proportional to 299.45, 412.88 and 229.30

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Solution

The fourth proportional to 299.45, 412.88 and 229.30 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 412.88 = 229.30 : x
  2. Step 2: Convert to fraction form
    299.45/412.88 = 229.30/x
  3. Step 3: Cross multiply
    299.45x = 412.88 × 229.30
  4. Step 4: Simplify right side
    299.45x = 94,673.38
  5. Step 5: Solve for x
    x = 94,673.38/299.45
  6. Step 6: Final answer
    x = 316.16

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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.