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Finding the Fourth Proportional to 492.96, 680.32 and 286.08

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Solution

The fourth proportional to 492.96, 680.32 and 286.08 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.96 : 680.32 = 286.08 : x
  2. Step 2: Convert to fraction form
    492.96/680.32 = 286.08/x
  3. Step 3: Cross multiply
    492.96x = 680.32 × 286.08
  4. Step 4: Simplify right side
    492.96x = 194,625.95
  5. Step 5: Solve for x
    x = 194,625.95/492.96
  6. Step 6: Final answer
    x = 394.81

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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.