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Finding the Fourth Proportional to 485.93, 727.97 and 409.37

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Solution

The fourth proportional to 485.93, 727.97 and 409.37 is: 613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.93 : 727.97 = 409.37 : x
  2. Step 2: Convert to fraction form
    485.93/727.97 = 409.37/x
  3. Step 3: Cross multiply
    485.93x = 727.97 × 409.37
  4. Step 4: Simplify right side
    485.93x = 298,007.03
  5. Step 5: Solve for x
    x = 298,007.03/485.93
  6. Step 6: Final answer
    x = 613.27

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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.