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Finding the Fourth Proportional to 469.94, 648.32 and 273.42

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Solution

The fourth proportional to 469.94, 648.32 and 273.42 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 648.32 = 273.42 : x
  2. Step 2: Convert to fraction form
    469.94/648.32 = 273.42/x
  3. Step 3: Cross multiply
    469.94x = 648.32 × 273.42
  4. Step 4: Simplify right side
    469.94x = 177,262.29
  5. Step 5: Solve for x
    x = 177,262.29/469.94
  6. Step 6: Final answer
    x = 377.21

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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.