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Finding the Fourth Proportional to 709.46, 979.05 and 394.77

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Solution

The fourth proportional to 709.46, 979.05 and 394.77 is: 544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.46 : 979.05 = 394.77 : x
  2. Step 2: Convert to fraction form
    709.46/979.05 = 394.77/x
  3. Step 3: Cross multiply
    709.46x = 979.05 × 394.77
  4. Step 4: Simplify right side
    709.46x = 386,504.72
  5. Step 5: Solve for x
    x = 386,504.72/709.46
  6. Step 6: Final answer
    x = 544.79

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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.