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Finding the Fourth Proportional to 394.56, 543.78 and 316.80

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Solution

The fourth proportional to 394.56, 543.78 and 316.80 is: 436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 543.78 = 316.80 : x
  2. Step 2: Convert to fraction form
    394.56/543.78 = 316.80/x
  3. Step 3: Cross multiply
    394.56x = 543.78 × 316.80
  4. Step 4: Simplify right side
    394.56x = 172,269.50
  5. Step 5: Solve for x
    x = 172,269.50/394.56
  6. Step 6: Final answer
    x = 436.61

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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.