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Finding the Fourth Proportional to 492.83, 679.52 and 296.27

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Solution

The fourth proportional to 492.83, 679.52 and 296.27 is: 408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.83 : 679.52 = 296.27 : x
  2. Step 2: Convert to fraction form
    492.83/679.52 = 296.27/x
  3. Step 3: Cross multiply
    492.83x = 679.52 × 296.27
  4. Step 4: Simplify right side
    492.83x = 201,321.39
  5. Step 5: Solve for x
    x = 201,321.39/492.83
  6. Step 6: Final answer
    x = 408.50

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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.