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Finding the Fourth Proportional to 540.33, 746.82 and 393.99

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Solution

The fourth proportional to 540.33, 746.82 and 393.99 is: 544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 746.82 = 393.99 : x
  2. Step 2: Convert to fraction form
    540.33/746.82 = 393.99/x
  3. Step 3: Cross multiply
    540.33x = 746.82 × 393.99
  4. Step 4: Simplify right side
    540.33x = 294,239.61
  5. Step 5: Solve for x
    x = 294,239.61/540.33
  6. Step 6: Final answer
    x = 544.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.