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Finding the Fourth Proportional to 299, 412.48 and 211.72

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Solution

The fourth proportional to 299, 412.48 and 211.72 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 412.48 = 211.72 : x
  2. Step 2: Convert to fraction form
    299/412.48 = 211.72/x
  3. Step 3: Cross multiply
    299x = 412.48 × 211.72
  4. Step 4: Simplify right side
    299x = 87,330.27
  5. Step 5: Solve for x
    x = 87,330.27/299
  6. Step 6: Final answer
    x = 292.07

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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.