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Finding the Fourth Proportional to 361.34, 498.64 and 213.94

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Solution

The fourth proportional to 361.34, 498.64 and 213.94 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.34 : 498.64 = 213.94 : x
  2. Step 2: Convert to fraction form
    361.34/498.64 = 213.94/x
  3. Step 3: Cross multiply
    361.34x = 498.64 × 213.94
  4. Step 4: Simplify right side
    361.34x = 106,679.04
  5. Step 5: Solve for x
    x = 106,679.04/361.34
  6. Step 6: Final answer
    x = 295.23

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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.