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Finding the Fourth Proportional to 508.53, 762.38 and 443.37

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Solution

The fourth proportional to 508.53, 762.38 and 443.37 is: 664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 762.38 = 443.37 : x
  2. Step 2: Convert to fraction form
    508.53/762.38 = 443.37/x
  3. Step 3: Cross multiply
    508.53x = 762.38 × 443.37
  4. Step 4: Simplify right side
    508.53x = 338,014.20
  5. Step 5: Solve for x
    x = 338,014.20/508.53
  6. Step 6: Final answer
    x = 664.69

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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.