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Finding the Fourth Proportional to 456.45, 629.73 and 309.12

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Solution

The fourth proportional to 456.45, 629.73 and 309.12 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 629.73 = 309.12 : x
  2. Step 2: Convert to fraction form
    456.45/629.73 = 309.12/x
  3. Step 3: Cross multiply
    456.45x = 629.73 × 309.12
  4. Step 4: Simplify right side
    456.45x = 194,662.14
  5. Step 5: Solve for x
    x = 194,662.14/456.45
  6. Step 6: Final answer
    x = 426.47

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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.