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Finding the Fourth Proportional to 361.89, 499.68 and 268.77

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Solution

The fourth proportional to 361.89, 499.68 and 268.77 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 499.68 = 268.77 : x
  2. Step 2: Convert to fraction form
    361.89/499.68 = 268.77/x
  3. Step 3: Cross multiply
    361.89x = 499.68 × 268.77
  4. Step 4: Simplify right side
    361.89x = 134,298.99
  5. Step 5: Solve for x
    x = 134,298.99/361.89
  6. Step 6: Final answer
    x = 371.10

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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.