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Finding the Fourth Proportional to 361.64, 498.92 and 214.26

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Solution

The fourth proportional to 361.64, 498.92 and 214.26 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 498.92 = 214.26 : x
  2. Step 2: Convert to fraction form
    361.64/498.92 = 214.26/x
  3. Step 3: Cross multiply
    361.64x = 498.92 × 214.26
  4. Step 4: Simplify right side
    361.64x = 106,898.60
  5. Step 5: Solve for x
    x = 106,898.60/361.64
  6. Step 6: Final answer
    x = 295.59

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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.