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Finding the Fourth Proportional to 731.55, 1,097.33 and 298.41

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Solution

The fourth proportional to 731.55, 1,097.33 and 298.41 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.55 : 1,097.33 = 298.41 : x
  2. Step 2: Convert to fraction form
    731.55/1,097.33 = 298.41/x
  3. Step 3: Cross multiply
    731.55x = 1,097.33 × 298.41
  4. Step 4: Simplify right side
    731.55x = 327,450.32
  5. Step 5: Solve for x
    x = 327,450.32/731.55
  6. Step 6: Final answer
    x = 447.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.