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Finding the Fourth Proportional to 343.98, 516.26 and 228.49

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Solution

The fourth proportional to 343.98, 516.26 and 228.49 is: 342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.98 : 516.26 = 228.49 : x
  2. Step 2: Convert to fraction form
    343.98/516.26 = 228.49/x
  3. Step 3: Cross multiply
    343.98x = 516.26 × 228.49
  4. Step 4: Simplify right side
    343.98x = 117,959.53
  5. Step 5: Solve for x
    x = 117,959.53/343.98
  6. Step 6: Final answer
    x = 342.92

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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.