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Finding the Fourth Proportional to 444.24, 665.34 and 261.80

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Solution

The fourth proportional to 444.24, 665.34 and 261.80 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 665.34 = 261.80 : x
  2. Step 2: Convert to fraction form
    444.24/665.34 = 261.80/x
  3. Step 3: Cross multiply
    444.24x = 665.34 × 261.80
  4. Step 4: Simplify right side
    444.24x = 174,186.01
  5. Step 5: Solve for x
    x = 174,186.01/444.24
  6. Step 6: Final answer
    x = 392.10

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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.