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Finding the Fourth Proportional to 485.54, 727.89 and 192.96

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Solution

The fourth proportional to 485.54, 727.89 and 192.96 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.54 : 727.89 = 192.96 : x
  2. Step 2: Convert to fraction form
    485.54/727.89 = 192.96/x
  3. Step 3: Cross multiply
    485.54x = 727.89 × 192.96
  4. Step 4: Simplify right side
    485.54x = 140,453.65
  5. Step 5: Solve for x
    x = 140,453.65/485.54
  6. Step 6: Final answer
    x = 289.27

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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.