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Finding the Fourth Proportional to 665.69, 998.85 and 270.36

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Solution

The fourth proportional to 665.69, 998.85 and 270.36 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.69 : 998.85 = 270.36 : x
  2. Step 2: Convert to fraction form
    665.69/998.85 = 270.36/x
  3. Step 3: Cross multiply
    665.69x = 998.85 × 270.36
  4. Step 4: Simplify right side
    665.69x = 270,044.09
  5. Step 5: Solve for x
    x = 270,044.09/665.69
  6. Step 6: Final answer
    x = 405.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.