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Finding the Fourth Proportional to 361.38, 499.02 and 306.56

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Solution

The fourth proportional to 361.38, 499.02 and 306.56 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.38 : 499.02 = 306.56 : x
  2. Step 2: Convert to fraction form
    361.38/499.02 = 306.56/x
  3. Step 3: Cross multiply
    361.38x = 499.02 × 306.56
  4. Step 4: Simplify right side
    361.38x = 152,979.57
  5. Step 5: Solve for x
    x = 152,979.57/361.38
  6. Step 6: Final answer
    x = 423.32

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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.