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Finding the Fourth Proportional to 339.03, 465.37 and 301.37

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Solution

The fourth proportional to 339.03, 465.37 and 301.37 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.03 : 465.37 = 301.37 : x
  2. Step 2: Convert to fraction form
    339.03/465.37 = 301.37/x
  3. Step 3: Cross multiply
    339.03x = 465.37 × 301.37
  4. Step 4: Simplify right side
    339.03x = 140,245.48
  5. Step 5: Solve for x
    x = 140,245.48/339.03
  6. Step 6: Final answer
    x = 413.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.