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Finding the Fourth Proportional to 483.56, 667.14 and 309.20

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Solution

The fourth proportional to 483.56, 667.14 and 309.20 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.56 : 667.14 = 309.20 : x
  2. Step 2: Convert to fraction form
    483.56/667.14 = 309.20/x
  3. Step 3: Cross multiply
    483.56x = 667.14 × 309.20
  4. Step 4: Simplify right side
    483.56x = 206,279.69
  5. Step 5: Solve for x
    x = 206,279.69/483.56
  6. Step 6: Final answer
    x = 426.59

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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.