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Finding the Fourth Proportional to 664.06, 994.65 and 419.98

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Solution

The fourth proportional to 664.06, 994.65 and 419.98 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 994.65 = 419.98 : x
  2. Step 2: Convert to fraction form
    664.06/994.65 = 419.98/x
  3. Step 3: Cross multiply
    664.06x = 994.65 × 419.98
  4. Step 4: Simplify right side
    664.06x = 417,733.11
  5. Step 5: Solve for x
    x = 417,733.11/664.06
  6. Step 6: Final answer
    x = 629.06

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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.