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Finding the Fourth Proportional to 713.40, 984.36 and 418.80

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Solution

The fourth proportional to 713.40, 984.36 and 418.80 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 984.36 = 418.80 : x
  2. Step 2: Convert to fraction form
    713.40/984.36 = 418.80/x
  3. Step 3: Cross multiply
    713.40x = 984.36 × 418.80
  4. Step 4: Simplify right side
    713.40x = 412,249.97
  5. Step 5: Solve for x
    x = 412,249.97/713.40
  6. Step 6: Final answer
    x = 577.87

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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.