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Finding the Fourth Proportional to 361.76, 499.33 and 230.94

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Solution

The fourth proportional to 361.76, 499.33 and 230.94 is: 318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.76 : 499.33 = 230.94 : x
  2. Step 2: Convert to fraction form
    361.76/499.33 = 230.94/x
  3. Step 3: Cross multiply
    361.76x = 499.33 × 230.94
  4. Step 4: Simplify right side
    361.76x = 115,315.56
  5. Step 5: Solve for x
    x = 115,315.56/361.76
  6. Step 6: Final answer
    x = 318.77

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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.