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Finding the Fourth Proportional to 326.44, 489.54 and 153.08

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Solution

The fourth proportional to 326.44, 489.54 and 153.08 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 489.54 = 153.08 : x
  2. Step 2: Convert to fraction form
    326.44/489.54 = 153.08/x
  3. Step 3: Cross multiply
    326.44x = 489.54 × 153.08
  4. Step 4: Simplify right side
    326.44x = 74,936.34
  5. Step 5: Solve for x
    x = 74,936.34/326.44
  6. Step 6: Final answer
    x = 229.56

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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.