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Finding the Fourth Proportional to 442.75, 611.13 and 326.65

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Solution

The fourth proportional to 442.75, 611.13 and 326.65 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 611.13 = 326.65 : x
  2. Step 2: Convert to fraction form
    442.75/611.13 = 326.65/x
  3. Step 3: Cross multiply
    442.75x = 611.13 × 326.65
  4. Step 4: Simplify right side
    442.75x = 199,625.61
  5. Step 5: Solve for x
    x = 199,625.61/442.75
  6. Step 6: Final answer
    x = 450.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.