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Finding the Fourth Proportional to 705.97, 974.23 and 391.24

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Solution

The fourth proportional to 705.97, 974.23 and 391.24 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 974.23 = 391.24 : x
  2. Step 2: Convert to fraction form
    705.97/974.23 = 391.24/x
  3. Step 3: Cross multiply
    705.97x = 974.23 × 391.24
  4. Step 4: Simplify right side
    705.97x = 381,157.75
  5. Step 5: Solve for x
    x = 381,157.75/705.97
  6. Step 6: Final answer
    x = 539.91

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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.