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Finding the Fourth Proportional to 559.41, 838.39 and 229.95

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Solution

The fourth proportional to 559.41, 838.39 and 229.95 is: 344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 838.39 = 229.95 : x
  2. Step 2: Convert to fraction form
    559.41/838.39 = 229.95/x
  3. Step 3: Cross multiply
    559.41x = 838.39 × 229.95
  4. Step 4: Simplify right side
    559.41x = 192,790.45
  5. Step 5: Solve for x
    x = 192,790.45/559.41
  6. Step 6: Final answer
    x = 344.63

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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.