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Finding the Fourth Proportional to 361.98, 499.23 and 296.37

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Solution

The fourth proportional to 361.98, 499.23 and 296.37 is: 408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 499.23 = 296.37 : x
  2. Step 2: Convert to fraction form
    361.98/499.23 = 296.37/x
  3. Step 3: Cross multiply
    361.98x = 499.23 × 296.37
  4. Step 4: Simplify right side
    361.98x = 147,956.80
  5. Step 5: Solve for x
    x = 147,956.80/361.98
  6. Step 6: Final answer
    x = 408.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.