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Finding the Fourth Proportional to 709.06, 978.38 and 414.27

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Solution

The fourth proportional to 709.06, 978.38 and 414.27 is: 571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.06 : 978.38 = 414.27 : x
  2. Step 2: Convert to fraction form
    709.06/978.38 = 414.27/x
  3. Step 3: Cross multiply
    709.06x = 978.38 × 414.27
  4. Step 4: Simplify right side
    709.06x = 405,313.48
  5. Step 5: Solve for x
    x = 405,313.48/709.06
  6. Step 6: Final answer
    x = 571.62

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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.