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Finding the Fourth Proportional to 420.68, 580.42 and 273.37

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Solution

The fourth proportional to 420.68, 580.42 and 273.37 is: 377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.68 : 580.42 = 273.37 : x
  2. Step 2: Convert to fraction form
    420.68/580.42 = 273.37/x
  3. Step 3: Cross multiply
    420.68x = 580.42 × 273.37
  4. Step 4: Simplify right side
    420.68x = 158,669.42
  5. Step 5: Solve for x
    x = 158,669.42/420.68
  6. Step 6: Final answer
    x = 377.17

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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.