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Finding the Fourth Proportional to 723.35, 998.21 and 391.77

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Solution

The fourth proportional to 723.35, 998.21 and 391.77 is: 540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.35 : 998.21 = 391.77 : x
  2. Step 2: Convert to fraction form
    723.35/998.21 = 391.77/x
  3. Step 3: Cross multiply
    723.35x = 998.21 × 391.77
  4. Step 4: Simplify right side
    723.35x = 391,069.71
  5. Step 5: Solve for x
    x = 391,069.71/723.35
  6. Step 6: Final answer
    x = 540.64

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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.