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Finding the Fourth Proportional to 665.93, 998.90 and 233.09

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Solution

The fourth proportional to 665.93, 998.90 and 233.09 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.93 : 998.90 = 233.09 : x
  2. Step 2: Convert to fraction form
    665.93/998.90 = 233.09/x
  3. Step 3: Cross multiply
    665.93x = 998.90 × 233.09
  4. Step 4: Simplify right side
    665.93x = 232,833.60
  5. Step 5: Solve for x
    x = 232,833.60/665.93
  6. Step 6: Final answer
    x = 349.64

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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.