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Finding the Fourth Proportional to 709.63, 979.24 and 394.90

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Solution

The fourth proportional to 709.63, 979.24 and 394.90 is: 544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 979.24 = 394.90 : x
  2. Step 2: Convert to fraction form
    709.63/979.24 = 394.90/x
  3. Step 3: Cross multiply
    709.63x = 979.24 × 394.90
  4. Step 4: Simplify right side
    709.63x = 386,701.88
  5. Step 5: Solve for x
    x = 386,701.88/709.63
  6. Step 6: Final answer
    x = 544.93

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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.