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Finding the Fourth Proportional to 709.30, 978.49 and 414.46

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Solution

The fourth proportional to 709.30, 978.49 and 414.46 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.30 : 978.49 = 414.46 : x
  2. Step 2: Convert to fraction form
    709.30/978.49 = 414.46/x
  3. Step 3: Cross multiply
    709.30x = 978.49 × 414.46
  4. Step 4: Simplify right side
    709.30x = 405,544.97
  5. Step 5: Solve for x
    x = 405,544.97/709.30
  6. Step 6: Final answer
    x = 571.75

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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.