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Finding the Fourth Proportional to 629.63, 868.02 and 419.81

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Solution

The fourth proportional to 629.63, 868.02 and 419.81 is: 578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 868.02 = 419.81 : x
  2. Step 2: Convert to fraction form
    629.63/868.02 = 419.81/x
  3. Step 3: Cross multiply
    629.63x = 868.02 × 419.81
  4. Step 4: Simplify right side
    629.63x = 364,399.14
  5. Step 5: Solve for x
    x = 364,399.14/629.63
  6. Step 6: Final answer
    x = 578.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.