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Finding the Fourth Proportional to 382.42, 573.24 and 217.65

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Solution

The fourth proportional to 382.42, 573.24 and 217.65 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 573.24 = 217.65 : x
  2. Step 2: Convert to fraction form
    382.42/573.24 = 217.65/x
  3. Step 3: Cross multiply
    382.42x = 573.24 × 217.65
  4. Step 4: Simplify right side
    382.42x = 124,765.69
  5. Step 5: Solve for x
    x = 124,765.69/382.42
  6. Step 6: Final answer
    x = 326.25

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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.