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Finding the Fourth Proportional to 426.25, 639.91 and 324.19

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Solution

The fourth proportional to 426.25, 639.91 and 324.19 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.25 : 639.91 = 324.19 : x
  2. Step 2: Convert to fraction form
    426.25/639.91 = 324.19/x
  3. Step 3: Cross multiply
    426.25x = 639.91 × 324.19
  4. Step 4: Simplify right side
    426.25x = 207,449.22
  5. Step 5: Solve for x
    x = 207,449.22/426.25
  6. Step 6: Final answer
    x = 486.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.