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Finding the Fourth Proportional to 325.76, 449.36 and 209.44

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Solution

The fourth proportional to 325.76, 449.36 and 209.44 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 449.36 = 209.44 : x
  2. Step 2: Convert to fraction form
    325.76/449.36 = 209.44/x
  3. Step 3: Cross multiply
    325.76x = 449.36 × 209.44
  4. Step 4: Simplify right side
    325.76x = 94,113.96
  5. Step 5: Solve for x
    x = 94,113.96/325.76
  6. Step 6: Final answer
    x = 288.91

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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.