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Finding the Fourth Proportional to 472.56, 652.12 and 273.37

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Solution

The fourth proportional to 472.56, 652.12 and 273.37 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 652.12 = 273.37 : x
  2. Step 2: Convert to fraction form
    472.56/652.12 = 273.37/x
  3. Step 3: Cross multiply
    472.56x = 652.12 × 273.37
  4. Step 4: Simplify right side
    472.56x = 178,270.99
  5. Step 5: Solve for x
    x = 178,270.99/472.56
  6. Step 6: Final answer
    x = 377.25

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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.