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Finding the Fourth Proportional to 361.39, 498.74 and 204.04

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Solution

The fourth proportional to 361.39, 498.74 and 204.04 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.39 : 498.74 = 204.04 : x
  2. Step 2: Convert to fraction form
    361.39/498.74 = 204.04/x
  3. Step 3: Cross multiply
    361.39x = 498.74 × 204.04
  4. Step 4: Simplify right side
    361.39x = 101,762.91
  5. Step 5: Solve for x
    x = 101,762.91/361.39
  6. Step 6: Final answer
    x = 281.59

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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.