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Finding the Fourth Proportional to 629.87, 943.59 and 305.46

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Solution

The fourth proportional to 629.87, 943.59 and 305.46 is: 457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.87 : 943.59 = 305.46 : x
  2. Step 2: Convert to fraction form
    629.87/943.59 = 305.46/x
  3. Step 3: Cross multiply
    629.87x = 943.59 × 305.46
  4. Step 4: Simplify right side
    629.87x = 288,229.83
  5. Step 5: Solve for x
    x = 288,229.83/629.87
  6. Step 6: Final answer
    x = 457.60

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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.