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Finding the Fourth Proportional to 420.95, 580.97 and 273.53

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Solution

The fourth proportional to 420.95, 580.97 and 273.53 is: 377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.95 : 580.97 = 273.53 : x
  2. Step 2: Convert to fraction form
    420.95/580.97 = 273.53/x
  3. Step 3: Cross multiply
    420.95x = 580.97 × 273.53
  4. Step 4: Simplify right side
    420.95x = 158,914.86
  5. Step 5: Solve for x
    x = 158,914.86/420.95
  6. Step 6: Final answer
    x = 377.51

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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.