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Finding the Fourth Proportional to 469.77, 648.25 and 273.27

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Solution

The fourth proportional to 469.77, 648.25 and 273.27 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.77 : 648.25 = 273.27 : x
  2. Step 2: Convert to fraction form
    469.77/648.25 = 273.27/x
  3. Step 3: Cross multiply
    469.77x = 648.25 × 273.27
  4. Step 4: Simplify right side
    469.77x = 177,149.03
  5. Step 5: Solve for x
    x = 177,149.03/469.77
  6. Step 6: Final answer
    x = 377.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.