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Finding the Fourth Proportional to 297.54, 413.37 and 294.57

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Solution

The fourth proportional to 297.54, 413.37 and 294.57 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 413.37 = 294.57 : x
  2. Step 2: Convert to fraction form
    297.54/413.37 = 294.57/x
  3. Step 3: Cross multiply
    297.54x = 413.37 × 294.57
  4. Step 4: Simplify right side
    297.54x = 121,766.40
  5. Step 5: Solve for x
    x = 121,766.40/297.54
  6. Step 6: Final answer
    x = 409.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.