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Finding the Fourth Proportional to 469.63, 647.97 and 273.03

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Solution

The fourth proportional to 469.63, 647.97 and 273.03 is: 376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.63 : 647.97 = 273.03 : x
  2. Step 2: Convert to fraction form
    469.63/647.97 = 273.03/x
  3. Step 3: Cross multiply
    469.63x = 647.97 × 273.03
  4. Step 4: Simplify right side
    469.63x = 176,912.01
  5. Step 5: Solve for x
    x = 176,912.01/469.63
  6. Step 6: Final answer
    x = 376.71

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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.