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Finding the Fourth Proportional to 397.82, 596.84 and 224.62

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Solution

The fourth proportional to 397.82, 596.84 and 224.62 is: 336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 596.84 = 224.62 : x
  2. Step 2: Convert to fraction form
    397.82/596.84 = 224.62/x
  3. Step 3: Cross multiply
    397.82x = 596.84 × 224.62
  4. Step 4: Simplify right side
    397.82x = 134,059.59
  5. Step 5: Solve for x
    x = 134,059.59/397.82
  6. Step 6: Final answer
    x = 336.98

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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.