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Finding the Fourth Proportional to 629.73, 868.59 and 433.71

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Solution

The fourth proportional to 629.73, 868.59 and 433.71 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.73 : 868.59 = 433.71 : x
  2. Step 2: Convert to fraction form
    629.73/868.59 = 433.71/x
  3. Step 3: Cross multiply
    629.73x = 868.59 × 433.71
  4. Step 4: Simplify right side
    629.73x = 376,716.17
  5. Step 5: Solve for x
    x = 376,716.17/629.73
  6. Step 6: Final answer
    x = 598.22

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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.