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Finding the Fourth Proportional to 262.04, 393.78 and 215.96

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Solution

The fourth proportional to 262.04, 393.78 and 215.96 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 393.78 = 215.96 : x
  2. Step 2: Convert to fraction form
    262.04/393.78 = 215.96/x
  3. Step 3: Cross multiply
    262.04x = 393.78 × 215.96
  4. Step 4: Simplify right side
    262.04x = 85,040.73
  5. Step 5: Solve for x
    x = 85,040.73/262.04
  6. Step 6: Final answer
    x = 324.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.