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Finding the Fourth Proportional to 484.01, 667.94 and 262.96

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Solution

The fourth proportional to 484.01, 667.94 and 262.96 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.01 : 667.94 = 262.96 : x
  2. Step 2: Convert to fraction form
    484.01/667.94 = 262.96/x
  3. Step 3: Cross multiply
    484.01x = 667.94 × 262.96
  4. Step 4: Simplify right side
    484.01x = 175,640.61
  5. Step 5: Solve for x
    x = 175,640.61/484.01
  6. Step 6: Final answer
    x = 362.89

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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.