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Finding the Fourth Proportional to 486.92, 672.05 and 277.11

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Solution

The fourth proportional to 486.92, 672.05 and 277.11 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 672.05 = 277.11 : x
  2. Step 2: Convert to fraction form
    486.92/672.05 = 277.11/x
  3. Step 3: Cross multiply
    486.92x = 672.05 × 277.11
  4. Step 4: Simplify right side
    486.92x = 186,231.78
  5. Step 5: Solve for x
    x = 186,231.78/486.92
  6. Step 6: Final answer
    x = 382.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.