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Finding the Fourth Proportional to 456.36, 629.46 and 309.12

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Solution

The fourth proportional to 456.36, 629.46 and 309.12 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 629.46 = 309.12 : x
  2. Step 2: Convert to fraction form
    456.36/629.46 = 309.12/x
  3. Step 3: Cross multiply
    456.36x = 629.46 × 309.12
  4. Step 4: Simplify right side
    456.36x = 194,578.68
  5. Step 5: Solve for x
    x = 194,578.68/456.36
  6. Step 6: Final answer
    x = 426.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.