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Finding the Fourth Proportional to 723.67, 998.62 and 404.58

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Solution

The fourth proportional to 723.67, 998.62 and 404.58 is: 558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.67 : 998.62 = 404.58 : x
  2. Step 2: Convert to fraction form
    723.67/998.62 = 404.58/x
  3. Step 3: Cross multiply
    723.67x = 998.62 × 404.58
  4. Step 4: Simplify right side
    723.67x = 404,022.69
  5. Step 5: Solve for x
    x = 404,022.69/723.67
  6. Step 6: Final answer
    x = 558.30

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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.