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Finding the Fourth Proportional to 629.30, 943.14 and 304.22

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Solution

The fourth proportional to 629.30, 943.14 and 304.22 is: 455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 943.14 = 304.22 : x
  2. Step 2: Convert to fraction form
    629.30/943.14 = 304.22/x
  3. Step 3: Cross multiply
    629.30x = 943.14 × 304.22
  4. Step 4: Simplify right side
    629.30x = 286,922.05
  5. Step 5: Solve for x
    x = 286,922.05/629.30
  6. Step 6: Final answer
    x = 455.94

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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.