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Finding the Fourth Proportional to 485.09, 727.73 and 196.53

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Solution

The fourth proportional to 485.09, 727.73 and 196.53 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.09 : 727.73 = 196.53 : x
  2. Step 2: Convert to fraction form
    485.09/727.73 = 196.53/x
  3. Step 3: Cross multiply
    485.09x = 727.73 × 196.53
  4. Step 4: Simplify right side
    485.09x = 143,016.16
  5. Step 5: Solve for x
    x = 143,016.16/485.09
  6. Step 6: Final answer
    x = 294.82

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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.