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Finding the Fourth Proportional to 469.63, 648.09 and 273.13

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Solution

The fourth proportional to 469.63, 648.09 and 273.13 is: 376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.63 : 648.09 = 273.13 : x
  2. Step 2: Convert to fraction form
    469.63/648.09 = 273.13/x
  3. Step 3: Cross multiply
    469.63x = 648.09 × 273.13
  4. Step 4: Simplify right side
    469.63x = 177,012.82
  5. Step 5: Solve for x
    x = 177,012.82/469.63
  6. Step 6: Final answer
    x = 376.92

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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.