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Finding the Fourth Proportional to 484.62, 668.37 and 337.62

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Solution

The fourth proportional to 484.62, 668.37 and 337.62 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.62 : 668.37 = 337.62 : x
  2. Step 2: Convert to fraction form
    484.62/668.37 = 337.62/x
  3. Step 3: Cross multiply
    484.62x = 668.37 × 337.62
  4. Step 4: Simplify right side
    484.62x = 225,655.08
  5. Step 5: Solve for x
    x = 225,655.08/484.62
  6. Step 6: Final answer
    x = 465.63

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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.