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Finding the Fourth Proportional to 709.41, 978.96 and 394.70

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Solution

The fourth proportional to 709.41, 978.96 and 394.70 is: 544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 978.96 = 394.70 : x
  2. Step 2: Convert to fraction form
    709.41/978.96 = 394.70/x
  3. Step 3: Cross multiply
    709.41x = 978.96 × 394.70
  4. Step 4: Simplify right side
    709.41x = 386,390.62
  5. Step 5: Solve for x
    x = 386,390.62/709.41
  6. Step 6: Final answer
    x = 544.66

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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.