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Finding the Fourth Proportional to 629.78, 943.72 and 385.90

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Solution

The fourth proportional to 629.78, 943.72 and 385.90 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 943.72 = 385.90 : x
  2. Step 2: Convert to fraction form
    629.78/943.72 = 385.90/x
  3. Step 3: Cross multiply
    629.78x = 943.72 × 385.90
  4. Step 4: Simplify right side
    629.78x = 364,178.22
  5. Step 5: Solve for x
    x = 364,178.22/629.78
  6. Step 6: Final answer
    x = 578.27

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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.