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Finding the Fourth Proportional to 709.44, 978.60 and 414.64

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Solution

The fourth proportional to 709.44, 978.60 and 414.64 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 978.60 = 414.64 : x
  2. Step 2: Convert to fraction form
    709.44/978.60 = 414.64/x
  3. Step 3: Cross multiply
    709.44x = 978.60 × 414.64
  4. Step 4: Simplify right side
    709.44x = 405,766.70
  5. Step 5: Solve for x
    x = 405,766.70/709.44
  6. Step 6: Final answer
    x = 571.95

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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.