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Finding the Fourth Proportional to 398.67, 597.44 and 225.33

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Solution

The fourth proportional to 398.67, 597.44 and 225.33 is: 337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 597.44 = 225.33 : x
  2. Step 2: Convert to fraction form
    398.67/597.44 = 225.33/x
  3. Step 3: Cross multiply
    398.67x = 597.44 × 225.33
  4. Step 4: Simplify right side
    398.67x = 134,620.03
  5. Step 5: Solve for x
    x = 134,620.03/398.67
  6. Step 6: Final answer
    x = 337.67

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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.