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Finding the Fourth Proportional to 492.70, 680.01 and 296.32

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Solution

The fourth proportional to 492.70, 680.01 and 296.32 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 680.01 = 296.32 : x
  2. Step 2: Convert to fraction form
    492.70/680.01 = 296.32/x
  3. Step 3: Cross multiply
    492.70x = 680.01 × 296.32
  4. Step 4: Simplify right side
    492.70x = 201,497.16
  5. Step 5: Solve for x
    x = 201,497.16/492.70
  6. Step 6: Final answer
    x = 408.97

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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.