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Finding the Fourth Proportional to 484.23, 667.97 and 418.12

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Solution

The fourth proportional to 484.23, 667.97 and 418.12 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 667.97 = 418.12 : x
  2. Step 2: Convert to fraction form
    484.23/667.97 = 418.12/x
  3. Step 3: Cross multiply
    484.23x = 667.97 × 418.12
  4. Step 4: Simplify right side
    484.23x = 279,290.99
  5. Step 5: Solve for x
    x = 279,290.99/484.23
  6. Step 6: Final answer
    x = 576.77

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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.