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Finding the Fourth Proportional to 629.85, 943.39 and 385.64

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Solution

The fourth proportional to 629.85, 943.39 and 385.64 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.85 : 943.39 = 385.64 : x
  2. Step 2: Convert to fraction form
    629.85/943.39 = 385.64/x
  3. Step 3: Cross multiply
    629.85x = 943.39 × 385.64
  4. Step 4: Simplify right side
    629.85x = 363,808.92
  5. Step 5: Solve for x
    x = 363,808.92/629.85
  6. Step 6: Final answer
    x = 577.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.