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Finding the Fourth Proportional to 508.25, 701.36 and 321.68

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Solution

The fourth proportional to 508.25, 701.36 and 321.68 is: 443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 701.36 = 321.68 : x
  2. Step 2: Convert to fraction form
    508.25/701.36 = 321.68/x
  3. Step 3: Cross multiply
    508.25x = 701.36 × 321.68
  4. Step 4: Simplify right side
    508.25x = 225,609.98
  5. Step 5: Solve for x
    x = 225,609.98/508.25
  6. Step 6: Final answer
    x = 443.90

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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.