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Finding the Fourth Proportional to 382.35, 573.44 and 122.34

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Solution

The fourth proportional to 382.35, 573.44 and 122.34 is: 183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.35 : 573.44 = 122.34 : x
  2. Step 2: Convert to fraction form
    382.35/573.44 = 122.34/x
  3. Step 3: Cross multiply
    382.35x = 573.44 × 122.34
  4. Step 4: Simplify right side
    382.35x = 70,154.65
  5. Step 5: Solve for x
    x = 70,154.65/382.35
  6. Step 6: Final answer
    x = 183.48

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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.