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Finding the Fourth Proportional to 361.85, 499.43 and 284.09

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Solution

The fourth proportional to 361.85, 499.43 and 284.09 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 499.43 = 284.09 : x
  2. Step 2: Convert to fraction form
    361.85/499.43 = 284.09/x
  3. Step 3: Cross multiply
    361.85x = 499.43 × 284.09
  4. Step 4: Simplify right side
    361.85x = 141,883.07
  5. Step 5: Solve for x
    x = 141,883.07/361.85
  6. Step 6: Final answer
    x = 392.10

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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.