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Finding the Fourth Proportional to 713.33, 984.31 and 418.59

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Solution

The fourth proportional to 713.33, 984.31 and 418.59 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.33 : 984.31 = 418.59 : x
  2. Step 2: Convert to fraction form
    713.33/984.31 = 418.59/x
  3. Step 3: Cross multiply
    713.33x = 984.31 × 418.59
  4. Step 4: Simplify right side
    713.33x = 412,022.32
  5. Step 5: Solve for x
    x = 412,022.32/713.33
  6. Step 6: Final answer
    x = 577.60

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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.