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Finding the Fourth Proportional to 713.05, 984.23 and 447.50

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Solution

The fourth proportional to 713.05, 984.23 and 447.50 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.05 : 984.23 = 447.50 : x
  2. Step 2: Convert to fraction form
    713.05/984.23 = 447.50/x
  3. Step 3: Cross multiply
    713.05x = 984.23 × 447.50
  4. Step 4: Simplify right side
    713.05x = 440,440.80
  5. Step 5: Solve for x
    x = 440,440.80/713.05
  6. Step 6: Final answer
    x = 617.68

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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.