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Finding the Fourth Proportional to 273.58, 408.06 and 232.54

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Solution

The fourth proportional to 273.58, 408.06 and 232.54 is: 346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 408.06 = 232.54 : x
  2. Step 2: Convert to fraction form
    273.58/408.06 = 232.54/x
  3. Step 3: Cross multiply
    273.58x = 408.06 × 232.54
  4. Step 4: Simplify right side
    273.58x = 94,888.38
  5. Step 5: Solve for x
    x = 94,888.38/273.58
  6. Step 6: Final answer
    x = 346.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.