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Finding the Fourth Proportional to 343.53, 514.13 and 213.48

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Solution

The fourth proportional to 343.53, 514.13 and 213.48 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 514.13 = 213.48 : x
  2. Step 2: Convert to fraction form
    343.53/514.13 = 213.48/x
  3. Step 3: Cross multiply
    343.53x = 514.13 × 213.48
  4. Step 4: Simplify right side
    343.53x = 109,755.41
  5. Step 5: Solve for x
    x = 109,755.41/343.53
  6. Step 6: Final answer
    x = 319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.