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Finding the Fourth Proportional to 361.03, 498.09 and 213.61

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Solution

The fourth proportional to 361.03, 498.09 and 213.61 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.03 : 498.09 = 213.61 : x
  2. Step 2: Convert to fraction form
    361.03/498.09 = 213.61/x
  3. Step 3: Cross multiply
    361.03x = 498.09 × 213.61
  4. Step 4: Simplify right side
    361.03x = 106,397.00
  5. Step 5: Solve for x
    x = 106,397.00/361.03
  6. Step 6: Final answer
    x = 294.70

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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.