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Finding the Fourth Proportional to 558.82, 837.92 and 229.67

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Solution

The fourth proportional to 558.82, 837.92 and 229.67 is: 344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.82 : 837.92 = 229.67 : x
  2. Step 2: Convert to fraction form
    558.82/837.92 = 229.67/x
  3. Step 3: Cross multiply
    558.82x = 837.92 × 229.67
  4. Step 4: Simplify right side
    558.82x = 192,445.09
  5. Step 5: Solve for x
    x = 192,445.09/558.82
  6. Step 6: Final answer
    x = 344.38

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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.