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Finding the Fourth Proportional to 394.75, 545.42 and 277.17

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Solution

The fourth proportional to 394.75, 545.42 and 277.17 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.75 : 545.42 = 277.17 : x
  2. Step 2: Convert to fraction form
    394.75/545.42 = 277.17/x
  3. Step 3: Cross multiply
    394.75x = 545.42 × 277.17
  4. Step 4: Simplify right side
    394.75x = 151,174.06
  5. Step 5: Solve for x
    x = 151,174.06/394.75
  6. Step 6: Final answer
    x = 382.96

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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.