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Finding the Fourth Proportional to 629.88, 868.14 and 433.14

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Solution

The fourth proportional to 629.88, 868.14 and 433.14 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 868.14 = 433.14 : x
  2. Step 2: Convert to fraction form
    629.88/868.14 = 433.14/x
  3. Step 3: Cross multiply
    629.88x = 868.14 × 433.14
  4. Step 4: Simplify right side
    629.88x = 376,026.16
  5. Step 5: Solve for x
    x = 376,026.16/629.88
  6. Step 6: Final answer
    x = 596.98

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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.