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Finding the Fourth Proportional to 361.71, 499.23 and 214.43

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Solution

The fourth proportional to 361.71, 499.23 and 214.43 is: 295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.71 : 499.23 = 214.43 : x
  2. Step 2: Convert to fraction form
    361.71/499.23 = 214.43/x
  3. Step 3: Cross multiply
    361.71x = 499.23 × 214.43
  4. Step 4: Simplify right side
    361.71x = 107,047.39
  5. Step 5: Solve for x
    x = 107,047.39/361.71
  6. Step 6: Final answer
    x = 295.95

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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.