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Finding the Fourth Proportional to 484.98, 667.87 and 337.35

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Solution

The fourth proportional to 484.98, 667.87 and 337.35 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.98 : 667.87 = 337.35 : x
  2. Step 2: Convert to fraction form
    484.98/667.87 = 337.35/x
  3. Step 3: Cross multiply
    484.98x = 667.87 × 337.35
  4. Step 4: Simplify right side
    484.98x = 225,305.94
  5. Step 5: Solve for x
    x = 225,305.94/484.98
  6. Step 6: Final answer
    x = 464.57

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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.