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Finding the Fourth Proportional to 485.73, 727.97 and 197.01

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Solution

The fourth proportional to 485.73, 727.97 and 197.01 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.73 : 727.97 = 197.01 : x
  2. Step 2: Convert to fraction form
    485.73/727.97 = 197.01/x
  3. Step 3: Cross multiply
    485.73x = 727.97 × 197.01
  4. Step 4: Simplify right side
    485.73x = 143,416.38
  5. Step 5: Solve for x
    x = 143,416.38/485.73
  6. Step 6: Final answer
    x = 295.26

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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.