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Finding the Fourth Proportional to 484.06, 667.94 and 277.06

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Solution

The fourth proportional to 484.06, 667.94 and 277.06 is: 382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.06 : 667.94 = 277.06 : x
  2. Step 2: Convert to fraction form
    484.06/667.94 = 277.06/x
  3. Step 3: Cross multiply
    484.06x = 667.94 × 277.06
  4. Step 4: Simplify right side
    484.06x = 185,059.46
  5. Step 5: Solve for x
    x = 185,059.46/484.06
  6. Step 6: Final answer
    x = 382.31

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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.