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Finding the Fourth Proportional to 361.89, 499.33 and 214.57

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Solution

The fourth proportional to 361.89, 499.33 and 214.57 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 499.33 = 214.57 : x
  2. Step 2: Convert to fraction form
    361.89/499.33 = 214.57/x
  3. Step 3: Cross multiply
    361.89x = 499.33 × 214.57
  4. Step 4: Simplify right side
    361.89x = 107,142.13
  5. Step 5: Solve for x
    x = 107,142.13/361.89
  6. Step 6: Final answer
    x = 296.06

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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.