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Finding the Fourth Proportional to 472.72, 652.31 and 273.56

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Solution

The fourth proportional to 472.72, 652.31 and 273.56 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 652.31 = 273.56 : x
  2. Step 2: Convert to fraction form
    472.72/652.31 = 273.56/x
  3. Step 3: Cross multiply
    472.72x = 652.31 × 273.56
  4. Step 4: Simplify right side
    472.72x = 178,445.92
  5. Step 5: Solve for x
    x = 178,445.92/472.72
  6. Step 6: Final answer
    x = 377.49

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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.