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Finding the Fourth Proportional to 325.77, 449.56 and 209.33

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Solution

The fourth proportional to 325.77, 449.56 and 209.33 is: 288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.77 : 449.56 = 209.33 : x
  2. Step 2: Convert to fraction form
    325.77/449.56 = 209.33/x
  3. Step 3: Cross multiply
    325.77x = 449.56 × 209.33
  4. Step 4: Simplify right side
    325.77x = 94,105.35
  5. Step 5: Solve for x
    x = 94,105.35/325.77
  6. Step 6: Final answer
    x = 288.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.