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Finding the Fourth Proportional to 723.62, 998.49 and 490.58

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Solution

The fourth proportional to 723.62, 998.49 and 490.58 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 998.49 = 490.58 : x
  2. Step 2: Convert to fraction form
    723.62/998.49 = 490.58/x
  3. Step 3: Cross multiply
    723.62x = 998.49 × 490.58
  4. Step 4: Simplify right side
    723.62x = 489,839.22
  5. Step 5: Solve for x
    x = 489,839.22/723.62
  6. Step 6: Final answer
    x = 676.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.