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Finding the Fourth Proportional to 665.30, 999.48 and 419.28

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Solution

The fourth proportional to 665.30, 999.48 and 419.28 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.30 : 999.48 = 419.28 : x
  2. Step 2: Convert to fraction form
    665.30/999.48 = 419.28/x
  3. Step 3: Cross multiply
    665.30x = 999.48 × 419.28
  4. Step 4: Simplify right side
    665.30x = 419,061.97
  5. Step 5: Solve for x
    x = 419,061.97/665.30
  6. Step 6: Final answer
    x = 629.88

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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.