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Finding the Fourth Proportional to 326.00, 488.97 and 82.53

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Solution

The fourth proportional to 326.00, 488.97 and 82.53 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 488.97 = 82.53 : x
  2. Step 2: Convert to fraction form
    326.00/488.97 = 82.53/x
  3. Step 3: Cross multiply
    326.00x = 488.97 × 82.53
  4. Step 4: Simplify right side
    326.00x = 40,354.69
  5. Step 5: Solve for x
    x = 40,354.69/326.00
  6. Step 6: Final answer
    x = 123.79

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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.