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Finding the Fourth Proportional to 326.22, 489.76 and 204.08

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Solution

The fourth proportional to 326.22, 489.76 and 204.08 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.22 : 489.76 = 204.08 : x
  2. Step 2: Convert to fraction form
    326.22/489.76 = 204.08/x
  3. Step 3: Cross multiply
    326.22x = 489.76 × 204.08
  4. Step 4: Simplify right side
    326.22x = 99,950.22
  5. Step 5: Solve for x
    x = 99,950.22/326.22
  6. Step 6: Final answer
    x = 306.39

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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.