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Finding the Fourth Proportional to 362.12, 540.97 and 298.04

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Solution

The fourth proportional to 362.12, 540.97 and 298.04 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 540.97 = 298.04 : x
  2. Step 2: Convert to fraction form
    362.12/540.97 = 298.04/x
  3. Step 3: Cross multiply
    362.12x = 540.97 × 298.04
  4. Step 4: Simplify right side
    362.12x = 161,230.70
  5. Step 5: Solve for x
    x = 161,230.70/362.12
  6. Step 6: Final answer
    x = 445.24

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