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Finding the Fourth Proportional to 713.25, 984.22 and 477.47

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Solution

The fourth proportional to 713.25, 984.22 and 477.47 is: 658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.25 : 984.22 = 477.47 : x
  2. Step 2: Convert to fraction form
    713.25/984.22 = 477.47/x
  3. Step 3: Cross multiply
    713.25x = 984.22 × 477.47
  4. Step 4: Simplify right side
    713.25x = 469,929.41
  5. Step 5: Solve for x
    x = 469,929.41/713.25
  6. Step 6: Final answer
    x = 658.86

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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.