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Finding the Fourth Proportional to 325.08, 448.29 and 214.56

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Solution

The fourth proportional to 325.08, 448.29 and 214.56 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.08 : 448.29 = 214.56 : x
  2. Step 2: Convert to fraction form
    325.08/448.29 = 214.56/x
  3. Step 3: Cross multiply
    325.08x = 448.29 × 214.56
  4. Step 4: Simplify right side
    325.08x = 96,185.10
  5. Step 5: Solve for x
    x = 96,185.10/325.08
  6. Step 6: Final answer
    x = 295.88

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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.