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Finding the Fourth Proportional to 337.28, 506.09 and 228.85

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Solution

The fourth proportional to 337.28, 506.09 and 228.85 is: 343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.28 : 506.09 = 228.85 : x
  2. Step 2: Convert to fraction form
    337.28/506.09 = 228.85/x
  3. Step 3: Cross multiply
    337.28x = 506.09 × 228.85
  4. Step 4: Simplify right side
    337.28x = 115,818.00
  5. Step 5: Solve for x
    x = 115,818.00/337.28
  6. Step 6: Final answer
    x = 343.39

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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.