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Finding the Fourth Proportional to 492.58, 679.42 and 399.33

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Solution

The fourth proportional to 492.58, 679.42 and 399.33 is: 550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.58 : 679.42 = 399.33 : x
  2. Step 2: Convert to fraction form
    492.58/679.42 = 399.33/x
  3. Step 3: Cross multiply
    492.58x = 679.42 × 399.33
  4. Step 4: Simplify right side
    492.58x = 271,313.29
  5. Step 5: Solve for x
    x = 271,313.29/492.58
  6. Step 6: Final answer
    x = 550.80

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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.