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Finding the Fourth Proportional to 412.28, 617.59 and 330.18

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Solution

The fourth proportional to 412.28, 617.59 and 330.18 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 617.59 = 330.18 : x
  2. Step 2: Convert to fraction form
    412.28/617.59 = 330.18/x
  3. Step 3: Cross multiply
    412.28x = 617.59 × 330.18
  4. Step 4: Simplify right side
    412.28x = 203,915.87
  5. Step 5: Solve for x
    x = 203,915.87/412.28
  6. Step 6: Final answer
    x = 494.61

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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.