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Finding the Fourth Proportional to 400.74, 548.77 and 378.54

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Solution

The fourth proportional to 400.74, 548.77 and 378.54 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.74 : 548.77 = 378.54 : x
  2. Step 2: Convert to fraction form
    400.74/548.77 = 378.54/x
  3. Step 3: Cross multiply
    400.74x = 548.77 × 378.54
  4. Step 4: Simplify right side
    400.74x = 207,731.40
  5. Step 5: Solve for x
    x = 207,731.40/400.74
  6. Step 6: Final answer
    x = 518.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.