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Finding the Fourth Proportional to 332.29, 501.09 and 327.73

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Solution

The fourth proportional to 332.29, 501.09 and 327.73 is: 494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.29 : 501.09 = 327.73 : x
  2. Step 2: Convert to fraction form
    332.29/501.09 = 327.73/x
  3. Step 3: Cross multiply
    332.29x = 501.09 × 327.73
  4. Step 4: Simplify right side
    332.29x = 164,222.23
  5. Step 5: Solve for x
    x = 164,222.23/332.29
  6. Step 6: Final answer
    x = 494.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.