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Finding the Fourth Proportional to 361.07, 498.10 and 213.63

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Solution

The fourth proportional to 361.07, 498.10 and 213.63 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 498.10 = 213.63 : x
  2. Step 2: Convert to fraction form
    361.07/498.10 = 213.63/x
  3. Step 3: Cross multiply
    361.07x = 498.10 × 213.63
  4. Step 4: Simplify right side
    361.07x = 106,408.03
  5. Step 5: Solve for x
    x = 106,408.03/361.07
  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.