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Finding the Fourth Proportional to 456.12, 629.82 and 309.24

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Solution

The fourth proportional to 456.12, 629.82 and 309.24 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 629.82 = 309.24 : x
  2. Step 2: Convert to fraction form
    456.12/629.82 = 309.24/x
  3. Step 3: Cross multiply
    456.12x = 629.82 × 309.24
  4. Step 4: Simplify right side
    456.12x = 194,765.54
  5. Step 5: Solve for x
    x = 194,765.54/456.12
  6. Step 6: Final answer
    x = 427.01

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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.