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Finding the Fourth Proportional to 344.13, 516.20 and 228.56

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Solution

The fourth proportional to 344.13, 516.20 and 228.56 is: 342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.13 : 516.20 = 228.56 : x
  2. Step 2: Convert to fraction form
    344.13/516.20 = 228.56/x
  3. Step 3: Cross multiply
    344.13x = 516.20 × 228.56
  4. Step 4: Simplify right side
    344.13x = 117,978.95
  5. Step 5: Solve for x
    x = 117,978.95/344.13
  6. Step 6: Final answer
    x = 342.84

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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.