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Finding the Fourth Proportional to 456.12, 629.49 and 309.06

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Solution

The fourth proportional to 456.12, 629.49 and 309.06 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 629.49 = 309.06 : x
  2. Step 2: Convert to fraction form
    456.12/629.49 = 309.06/x
  3. Step 3: Cross multiply
    456.12x = 629.49 × 309.06
  4. Step 4: Simplify right side
    456.12x = 194,550.18
  5. Step 5: Solve for x
    x = 194,550.18/456.12
  6. Step 6: Final answer
    x = 426.53

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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.