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Finding the Fourth Proportional to 326.40, 489.28 and 153.19

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Solution

The fourth proportional to 326.40, 489.28 and 153.19 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 489.28 = 153.19 : x
  2. Step 2: Convert to fraction form
    326.40/489.28 = 153.19/x
  3. Step 3: Cross multiply
    326.40x = 489.28 × 153.19
  4. Step 4: Simplify right side
    326.40x = 74,950.36
  5. Step 5: Solve for x
    x = 74,950.36/326.40
  6. Step 6: Final answer
    x = 229.63

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