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Finding the Fourth Proportional to 444.29, 665.60 and 224.64

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Solution

The fourth proportional to 444.29, 665.60 and 224.64 is: 336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 665.60 = 224.64 : x
  2. Step 2: Convert to fraction form
    444.29/665.60 = 224.64/x
  3. Step 3: Cross multiply
    444.29x = 665.60 × 224.64
  4. Step 4: Simplify right side
    444.29x = 149,519.26
  5. Step 5: Solve for x
    x = 149,519.26/444.29
  6. Step 6: Final answer
    x = 336.54

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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.