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Finding the Fourth Proportional to 540.73, 746.82 and 394.02

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Solution

The fourth proportional to 540.73, 746.82 and 394.02 is: 544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.73 : 746.82 = 394.02 : x
  2. Step 2: Convert to fraction form
    540.73/746.82 = 394.02/x
  3. Step 3: Cross multiply
    540.73x = 746.82 × 394.02
  4. Step 4: Simplify right side
    540.73x = 294,262.02
  5. Step 5: Solve for x
    x = 294,262.02/540.73
  6. Step 6: Final answer
    x = 544.19

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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.