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Finding the Fourth Proportional to 298.16, 413.34 and 292.20

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Solution

The fourth proportional to 298.16, 413.34 and 292.20 is: 405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 413.34 = 292.20 : x
  2. Step 2: Convert to fraction form
    298.16/413.34 = 292.20/x
  3. Step 3: Cross multiply
    298.16x = 413.34 × 292.20
  4. Step 4: Simplify right side
    298.16x = 120,777.95
  5. Step 5: Solve for x
    x = 120,777.95/298.16
  6. Step 6: Final answer
    x = 405.08

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