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Finding the Fourth Proportional to 558.86, 838.09 and 229.70

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Solution

The fourth proportional to 558.86, 838.09 and 229.70 is: 344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.86 : 838.09 = 229.70 : x
  2. Step 2: Convert to fraction form
    558.86/838.09 = 229.70/x
  3. Step 3: Cross multiply
    558.86x = 838.09 × 229.70
  4. Step 4: Simplify right side
    558.86x = 192,506.99
  5. Step 5: Solve for x
    x = 192,506.99/558.86
  6. Step 6: Final answer
    x = 344.47

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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.