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Finding the Fourth Proportional to 361, 498.24 and 205.84

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Solution

The fourth proportional to 361, 498.24 and 205.84 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 498.24 = 205.84 : x
  2. Step 2: Convert to fraction form
    361/498.24 = 205.84/x
  3. Step 3: Cross multiply
    361x = 498.24 × 205.84
  4. Step 4: Simplify right side
    361x = 102,557.72
  5. Step 5: Solve for x
    x = 102,557.72/361
  6. Step 6: Final answer
    x = 284.09

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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.