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Finding the Fourth Proportional to 289.96, 400.48 and 211.63

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Solution

The fourth proportional to 289.96, 400.48 and 211.63 is: 292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 400.48 = 211.63 : x
  2. Step 2: Convert to fraction form
    289.96/400.48 = 211.63/x
  3. Step 3: Cross multiply
    289.96x = 400.48 × 211.63
  4. Step 4: Simplify right side
    289.96x = 84,752.05
  5. Step 5: Solve for x
    x = 84,752.05/289.96
  6. Step 6: Final answer
    x = 292.29

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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.