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Finding the Fourth Proportional to 713.72, 984.48 and 418.97

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Solution

The fourth proportional to 713.72, 984.48 and 418.97 is: 577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.72 : 984.48 = 418.97 : x
  2. Step 2: Convert to fraction form
    713.72/984.48 = 418.97/x
  3. Step 3: Cross multiply
    713.72x = 984.48 × 418.97
  4. Step 4: Simplify right side
    713.72x = 412,467.59
  5. Step 5: Solve for x
    x = 412,467.59/713.72
  6. Step 6: Final answer
    x = 577.91

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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.