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Finding the Fourth Proportional to 713.38, 984.09 and 480.58

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Solution

The fourth proportional to 713.38, 984.09 and 480.58 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.38 : 984.09 = 480.58 : x
  2. Step 2: Convert to fraction form
    713.38/984.09 = 480.58/x
  3. Step 3: Cross multiply
    713.38x = 984.09 × 480.58
  4. Step 4: Simplify right side
    713.38x = 472,933.97
  5. Step 5: Solve for x
    x = 472,933.97/713.38
  6. Step 6: Final answer
    x = 662.95

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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.