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Finding the Fourth Proportional to 709.26, 978.80 and 414.42

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Solution

The fourth proportional to 709.26, 978.80 and 414.42 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.26 : 978.80 = 414.42 : x
  2. Step 2: Convert to fraction form
    709.26/978.80 = 414.42/x
  3. Step 3: Cross multiply
    709.26x = 978.80 × 414.42
  4. Step 4: Simplify right side
    709.26x = 405,634.30
  5. Step 5: Solve for x
    x = 405,634.30/709.26
  6. Step 6: Final answer
    x = 571.91

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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.