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Finding the Fourth Proportional to 325.72, 449.46 and 215.32

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Solution

The fourth proportional to 325.72, 449.46 and 215.32 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.72 : 449.46 = 215.32 : x
  2. Step 2: Convert to fraction form
    325.72/449.46 = 215.32/x
  3. Step 3: Cross multiply
    325.72x = 449.46 × 215.32
  4. Step 4: Simplify right side
    325.72x = 96,777.73
  5. Step 5: Solve for x
    x = 96,777.73/325.72
  6. Step 6: Final answer
    x = 297.12

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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.