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Finding the Fourth Proportional to 301.37, 413.59 and 293.63

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Solution

The fourth proportional to 301.37, 413.59 and 293.63 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 413.59 = 293.63 : x
  2. Step 2: Convert to fraction form
    301.37/413.59 = 293.63/x
  3. Step 3: Cross multiply
    301.37x = 413.59 × 293.63
  4. Step 4: Simplify right side
    301.37x = 121,442.43
  5. Step 5: Solve for x
    x = 121,442.43/301.37
  6. Step 6: Final answer
    x = 402.97

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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.