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Finding the Fourth Proportional to 413.80, 618.34 and 297.70

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Solution

The fourth proportional to 413.80, 618.34 and 297.70 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 618.34 = 297.70 : x
  2. Step 2: Convert to fraction form
    413.80/618.34 = 297.70/x
  3. Step 3: Cross multiply
    413.80x = 618.34 × 297.70
  4. Step 4: Simplify right side
    413.80x = 184,078.33
  5. Step 5: Solve for x
    x = 184,078.33/413.80
  6. Step 6: Final answer
    x = 444.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.