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Finding the Fourth Proportional to 723.47, 998.38 and 391.89

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Solution

The fourth proportional to 723.47, 998.38 and 391.89 is: 540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.47 : 998.38 = 391.89 : x
  2. Step 2: Convert to fraction form
    723.47/998.38 = 391.89/x
  3. Step 3: Cross multiply
    723.47x = 998.38 × 391.89
  4. Step 4: Simplify right side
    723.47x = 391,259.37
  5. Step 5: Solve for x
    x = 391,259.37/723.47
  6. Step 6: Final answer
    x = 540.81

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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.