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Finding the Fourth Proportional to 594.82, 892.23 and 229.35

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Solution

The fourth proportional to 594.82, 892.23 and 229.35 is: 344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 892.23 = 229.35 : x
  2. Step 2: Convert to fraction form
    594.82/892.23 = 229.35/x
  3. Step 3: Cross multiply
    594.82x = 892.23 × 229.35
  4. Step 4: Simplify right side
    594.82x = 204,635.44
  5. Step 5: Solve for x
    x = 204,635.44/594.82
  6. Step 6: Final answer
    x = 344.03

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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.