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Finding the Fourth Proportional to 492.92, 739.08 and 225.72

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Solution

The fourth proportional to 492.92, 739.08 and 225.72 is: 338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 739.08 = 225.72 : x
  2. Step 2: Convert to fraction form
    492.92/739.08 = 225.72/x
  3. Step 3: Cross multiply
    492.92x = 739.08 × 225.72
  4. Step 4: Simplify right side
    492.92x = 166,825.14
  5. Step 5: Solve for x
    x = 166,825.14/492.92
  6. Step 6: Final answer
    x = 338.44

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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.