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Finding the Fourth Proportional to 484.16, 667.92 and 309.44

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Solution

The fourth proportional to 484.16, 667.92 and 309.44 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.16 : 667.92 = 309.44 : x
  2. Step 2: Convert to fraction form
    484.16/667.92 = 309.44/x
  3. Step 3: Cross multiply
    484.16x = 667.92 × 309.44
  4. Step 4: Simplify right side
    484.16x = 206,681.16
  5. Step 5: Solve for x
    x = 206,681.16/484.16
  6. Step 6: Final answer
    x = 426.89

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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.