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Finding the Fourth Proportional to 508.12, 762.24 and 234.29

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Solution

The fourth proportional to 508.12, 762.24 and 234.29 is: 351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 762.24 = 234.29 : x
  2. Step 2: Convert to fraction form
    508.12/762.24 = 234.29/x
  3. Step 3: Cross multiply
    508.12x = 762.24 × 234.29
  4. Step 4: Simplify right side
    508.12x = 178,586.02
  5. Step 5: Solve for x
    x = 178,586.02/508.12
  6. Step 6: Final answer
    x = 351.46

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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.