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Finding the Fourth Proportional to 709.54, 979.11 and 394.81

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Solution

The fourth proportional to 709.54, 979.11 and 394.81 is: 544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.54 : 979.11 = 394.81 : x
  2. Step 2: Convert to fraction form
    709.54/979.11 = 394.81/x
  3. Step 3: Cross multiply
    709.54x = 979.11 × 394.81
  4. Step 4: Simplify right side
    709.54x = 386,560.71
  5. Step 5: Solve for x
    x = 386,560.71/709.54
  6. Step 6: Final answer
    x = 544.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.