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Finding the Fourth Proportional to 361.56, 498.94 and 214.24

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Solution

The fourth proportional to 361.56, 498.94 and 214.24 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 498.94 = 214.24 : x
  2. Step 2: Convert to fraction form
    361.56/498.94 = 214.24/x
  3. Step 3: Cross multiply
    361.56x = 498.94 × 214.24
  4. Step 4: Simplify right side
    361.56x = 106,892.91
  5. Step 5: Solve for x
    x = 106,892.91/361.56
  6. Step 6: Final answer
    x = 295.64

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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.