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Finding the Fourth Proportional to 361.01, 498.17 and 213.59

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Solution

The fourth proportional to 361.01, 498.17 and 213.59 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.01 : 498.17 = 213.59 : x
  2. Step 2: Convert to fraction form
    361.01/498.17 = 213.59/x
  3. Step 3: Cross multiply
    361.01x = 498.17 × 213.59
  4. Step 4: Simplify right side
    361.01x = 106,401.91
  5. Step 5: Solve for x
    x = 106,401.91/361.01
  6. Step 6: Final answer
    x = 294.74

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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.