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Finding the Fourth Proportional to 444.08, 665.23 and 209.49

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Solution

The fourth proportional to 444.08, 665.23 and 209.49 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.08 : 665.23 = 209.49 : x
  2. Step 2: Convert to fraction form
    444.08/665.23 = 209.49/x
  3. Step 3: Cross multiply
    444.08x = 665.23 × 209.49
  4. Step 4: Simplify right side
    444.08x = 139,359.03
  5. Step 5: Solve for x
    x = 139,359.03/444.08
  6. Step 6: Final answer
    x = 313.82

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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.