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Finding the Fourth Proportional to 404.09, 557.80 and 273.27

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Solution

The fourth proportional to 404.09, 557.80 and 273.27 is: 377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 557.80 = 273.27 : x
  2. Step 2: Convert to fraction form
    404.09/557.80 = 273.27/x
  3. Step 3: Cross multiply
    404.09x = 557.80 × 273.27
  4. Step 4: Simplify right side
    404.09x = 152,430.01
  5. Step 5: Solve for x
    x = 152,430.01/404.09
  6. Step 6: Final answer
    x = 377.22

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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.