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Finding the Fourth Proportional to 664.32, 994.98 and 420.32

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Solution

The fourth proportional to 664.32, 994.98 and 420.32 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 994.98 = 420.32 : x
  2. Step 2: Convert to fraction form
    664.32/994.98 = 420.32/x
  3. Step 3: Cross multiply
    664.32x = 994.98 × 420.32
  4. Step 4: Simplify right side
    664.32x = 418,209.99
  5. Step 5: Solve for x
    x = 418,209.99/664.32
  6. Step 6: Final answer
    x = 629.53

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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.