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Finding the Fourth Proportional to 701.96, 968.64 and 391.46

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Solution

The fourth proportional to 701.96, 968.64 and 391.46 is: 540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.96 : 968.64 = 391.46 : x
  2. Step 2: Convert to fraction form
    701.96/968.64 = 391.46/x
  3. Step 3: Cross multiply
    701.96x = 968.64 × 391.46
  4. Step 4: Simplify right side
    701.96x = 379,183.81
  5. Step 5: Solve for x
    x = 379,183.81/701.96
  6. Step 6: Final answer
    x = 540.18

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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.