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Finding the Fourth Proportional to 486.95, 671.94 and 277.12

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Solution

The fourth proportional to 486.95, 671.94 and 277.12 is: 382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 671.94 = 277.12 : x
  2. Step 2: Convert to fraction form
    486.95/671.94 = 277.12/x
  3. Step 3: Cross multiply
    486.95x = 671.94 × 277.12
  4. Step 4: Simplify right side
    486.95x = 186,208.85
  5. Step 5: Solve for x
    x = 186,208.85/486.95
  6. Step 6: Final answer
    x = 382.40

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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.