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Finding the Fourth Proportional to 558.73, 838.15 and 229.59

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Solution

The fourth proportional to 558.73, 838.15 and 229.59 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.73 : 838.15 = 229.59 : x
  2. Step 2: Convert to fraction form
    558.73/838.15 = 229.59/x
  3. Step 3: Cross multiply
    558.73x = 838.15 × 229.59
  4. Step 4: Simplify right side
    558.73x = 192,433.43
  5. Step 5: Solve for x
    x = 192,433.43/558.73
  6. Step 6: Final answer
    x = 344.41

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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.