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Finding the Fourth Proportional to 344.84, 475.90 and 213.80

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Solution

The fourth proportional to 344.84, 475.90 and 213.80 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 475.90 = 213.80 : x
  2. Step 2: Convert to fraction form
    344.84/475.90 = 213.80/x
  3. Step 3: Cross multiply
    344.84x = 475.90 × 213.80
  4. Step 4: Simplify right side
    344.84x = 101,747.42
  5. Step 5: Solve for x
    x = 101,747.42/344.84
  6. Step 6: Final answer
    x = 295.06

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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.