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Finding the Fourth Proportional to 711.14, 981.34 and 396.41

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Solution

The fourth proportional to 711.14, 981.34 and 396.41 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.14 : 981.34 = 396.41 : x
  2. Step 2: Convert to fraction form
    711.14/981.34 = 396.41/x
  3. Step 3: Cross multiply
    711.14x = 981.34 × 396.41
  4. Step 4: Simplify right side
    711.14x = 389,007.09
  5. Step 5: Solve for x
    x = 389,007.09/711.14
  6. Step 6: Final answer
    x = 547.02

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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.