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Finding the Fourth Proportional to 325.34, 448.92 and 214.76

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Solution

The fourth proportional to 325.34, 448.92 and 214.76 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.34 : 448.92 = 214.76 : x
  2. Step 2: Convert to fraction form
    325.34/448.92 = 214.76/x
  3. Step 3: Cross multiply
    325.34x = 448.92 × 214.76
  4. Step 4: Simplify right side
    325.34x = 96,410.06
  5. Step 5: Solve for x
    x = 96,410.06/325.34
  6. Step 6: Final answer
    x = 296.34

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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.