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Finding the Fourth Proportional to 408.03, 562.73 and 277.22

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Solution

The fourth proportional to 408.03, 562.73 and 277.22 is: 382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.03 : 562.73 = 277.22 : x
  2. Step 2: Convert to fraction form
    408.03/562.73 = 277.22/x
  3. Step 3: Cross multiply
    408.03x = 562.73 × 277.22
  4. Step 4: Simplify right side
    408.03x = 155,995.81
  5. Step 5: Solve for x
    x = 155,995.81/408.03
  6. Step 6: Final answer
    x = 382.31

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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.