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Finding the Fourth Proportional to 492.97, 680.34 and 343.81

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Solution

The fourth proportional to 492.97, 680.34 and 343.81 is: 474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.97 : 680.34 = 343.81 : x
  2. Step 2: Convert to fraction form
    492.97/680.34 = 343.81/x
  3. Step 3: Cross multiply
    492.97x = 680.34 × 343.81
  4. Step 4: Simplify right side
    492.97x = 233,904.93
  5. Step 5: Solve for x
    x = 233,904.93/492.97
  6. Step 6: Final answer
    x = 474.48

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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.