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Finding the Fourth Proportional to 342.98, 513.94 and 227.30

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Solution

The fourth proportional to 342.98, 513.94 and 227.30 is: 340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 513.94 = 227.30 : x
  2. Step 2: Convert to fraction form
    342.98/513.94 = 227.30/x
  3. Step 3: Cross multiply
    342.98x = 513.94 × 227.30
  4. Step 4: Simplify right side
    342.98x = 116,818.56
  5. Step 5: Solve for x
    x = 116,818.56/342.98
  6. Step 6: Final answer
    x = 340.60

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