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Finding the Fourth Proportional to 343.87, 515.07 and 213.57

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Solution

The fourth proportional to 343.87, 515.07 and 213.57 is: 319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.87 : 515.07 = 213.57 : x
  2. Step 2: Convert to fraction form
    343.87/515.07 = 213.57/x
  3. Step 3: Cross multiply
    343.87x = 515.07 × 213.57
  4. Step 4: Simplify right side
    343.87x = 110,003.50
  5. Step 5: Solve for x
    x = 110,003.50/343.87
  6. Step 6: Final answer
    x = 319.90

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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.