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Finding the Fourth Proportional to 442.26, 610.44 and 326.16

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Solution

The fourth proportional to 442.26, 610.44 and 326.16 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 610.44 = 326.16 : x
  2. Step 2: Convert to fraction form
    442.26/610.44 = 326.16/x
  3. Step 3: Cross multiply
    442.26x = 610.44 × 326.16
  4. Step 4: Simplify right side
    442.26x = 199,101.11
  5. Step 5: Solve for x
    x = 199,101.11/442.26
  6. Step 6: Final answer
    x = 450.19

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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.