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Finding the Fourth Proportional to 394.98, 540.78 and 393.60

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Solution

The fourth proportional to 394.98, 540.78 and 393.60 is: 538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 540.78 = 393.60 : x
  2. Step 2: Convert to fraction form
    394.98/540.78 = 393.60/x
  3. Step 3: Cross multiply
    394.98x = 540.78 × 393.60
  4. Step 4: Simplify right side
    394.98x = 212,851.01
  5. Step 5: Solve for x
    x = 212,851.01/394.98
  6. Step 6: Final answer
    x = 538.89

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