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Finding the Fourth Proportional to 361.09, 498.42 and 213.77

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Solution

The fourth proportional to 361.09, 498.42 and 213.77 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 498.42 = 213.77 : x
  2. Step 2: Convert to fraction form
    361.09/498.42 = 213.77/x
  3. Step 3: Cross multiply
    361.09x = 498.42 × 213.77
  4. Step 4: Simplify right side
    361.09x = 106,548.49
  5. Step 5: Solve for x
    x = 106,548.49/361.09
  6. Step 6: Final answer
    x = 295.07

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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.