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Finding the Fourth Proportional to 411.84, 617.92 and 326.06

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Solution

The fourth proportional to 411.84, 617.92 and 326.06 is: 489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 617.92 = 326.06 : x
  2. Step 2: Convert to fraction form
    411.84/617.92 = 326.06/x
  3. Step 3: Cross multiply
    411.84x = 617.92 × 326.06
  4. Step 4: Simplify right side
    411.84x = 201,479.00
  5. Step 5: Solve for x
    x = 201,479.00/411.84
  6. Step 6: Final answer
    x = 489.22

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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.