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Finding the Fourth Proportional to 298.59, 447.37 and 261.62

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Solution

The fourth proportional to 298.59, 447.37 and 261.62 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 447.37 = 261.62 : x
  2. Step 2: Convert to fraction form
    298.59/447.37 = 261.62/x
  3. Step 3: Cross multiply
    298.59x = 447.37 × 261.62
  4. Step 4: Simplify right side
    298.59x = 117,040.94
  5. Step 5: Solve for x
    x = 117,040.94/298.59
  6. Step 6: Final answer
    x = 391.98

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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.