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Finding the Fourth Proportional to 486.72, 671.70 and 276.90

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Solution

The fourth proportional to 486.72, 671.70 and 276.90 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 671.70 = 276.90 : x
  2. Step 2: Convert to fraction form
    486.72/671.70 = 276.90/x
  3. Step 3: Cross multiply
    486.72x = 671.70 × 276.90
  4. Step 4: Simplify right side
    486.72x = 185,993.73
  5. Step 5: Solve for x
    x = 185,993.73/486.72
  6. Step 6: Final answer
    x = 382.14

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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.