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Finding the Fourth Proportional to 629.31, 943.97 and 456.07

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Solution

The fourth proportional to 629.31, 943.97 and 456.07 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.31 : 943.97 = 456.07 : x
  2. Step 2: Convert to fraction form
    629.31/943.97 = 456.07/x
  3. Step 3: Cross multiply
    629.31x = 943.97 × 456.07
  4. Step 4: Simplify right side
    629.31x = 430,514.04
  5. Step 5: Solve for x
    x = 430,514.04/629.31
  6. Step 6: Final answer
    x = 684.10

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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.