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Finding the Fourth Proportional to 665.44, 998.07 and 232.72

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Solution

The fourth proportional to 665.44, 998.07 and 232.72 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 998.07 = 232.72 : x
  2. Step 2: Convert to fraction form
    665.44/998.07 = 232.72/x
  3. Step 3: Cross multiply
    665.44x = 998.07 × 232.72
  4. Step 4: Simplify right side
    665.44x = 232,270.85
  5. Step 5: Solve for x
    x = 232,270.85/665.44
  6. Step 6: Final answer
    x = 349.05

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Why These Related Problems?

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