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Finding the Fourth Proportional to 492.63, 739.13 and 204.09

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Solution

The fourth proportional to 492.63, 739.13 and 204.09 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 739.13 = 204.09 : x
  2. Step 2: Convert to fraction form
    492.63/739.13 = 204.09/x
  3. Step 3: Cross multiply
    492.63x = 739.13 × 204.09
  4. Step 4: Simplify right side
    492.63x = 150,848.02
  5. Step 5: Solve for x
    x = 150,848.02/492.63
  6. Step 6: Final answer
    x = 306.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.