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Finding the Fourth Proportional to 444.31, 665.66 and 261.60

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Solution

The fourth proportional to 444.31, 665.66 and 261.60 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.31 : 665.66 = 261.60 : x
  2. Step 2: Convert to fraction form
    444.31/665.66 = 261.60/x
  3. Step 3: Cross multiply
    444.31x = 665.66 × 261.60
  4. Step 4: Simplify right side
    444.31x = 174,136.33
  5. Step 5: Solve for x
    x = 174,136.33/444.31
  6. Step 6: Final answer
    x = 391.93

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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.