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Finding the Fourth Proportional to 508.96, 762.69 and 451.30

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Solution

The fourth proportional to 508.96, 762.69 and 451.30 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 762.69 = 451.30 : x
  2. Step 2: Convert to fraction form
    508.96/762.69 = 451.30/x
  3. Step 3: Cross multiply
    508.96x = 762.69 × 451.30
  4. Step 4: Simplify right side
    508.96x = 344,202.00
  5. Step 5: Solve for x
    x = 344,202.00/508.96
  6. Step 6: Final answer
    x = 676.28

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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.