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Finding the Fourth Proportional to 709.66, 979.31 and 394.92

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Solution

The fourth proportional to 709.66, 979.31 and 394.92 is: 544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.66 : 979.31 = 394.92 : x
  2. Step 2: Convert to fraction form
    709.66/979.31 = 394.92/x
  3. Step 3: Cross multiply
    709.66x = 979.31 × 394.92
  4. Step 4: Simplify right side
    709.66x = 386,750.09
  5. Step 5: Solve for x
    x = 386,750.09/709.66
  6. Step 6: Final answer
    x = 544.98

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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.