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Finding the Fourth Proportional to 723.80, 998.83 and 392.23

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Solution

The fourth proportional to 723.80, 998.83 and 392.23 is: 541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.80 : 998.83 = 392.23 : x
  2. Step 2: Convert to fraction form
    723.80/998.83 = 392.23/x
  3. Step 3: Cross multiply
    723.80x = 998.83 × 392.23
  4. Step 4: Simplify right side
    723.80x = 391,771.09
  5. Step 5: Solve for x
    x = 391,771.09/723.80
  6. Step 6: Final answer
    x = 541.27

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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.