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Finding the Fourth Proportional to 394.00, 543.86 and 296.03

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Solution

The fourth proportional to 394.00, 543.86 and 296.03 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.00 : 543.86 = 296.03 : x
  2. Step 2: Convert to fraction form
    394.00/543.86 = 296.03/x
  3. Step 3: Cross multiply
    394.00x = 543.86 × 296.03
  4. Step 4: Simplify right side
    394.00x = 161,000.98
  5. Step 5: Solve for x
    x = 161,000.98/394.00
  6. Step 6: Final answer
    x = 408.63

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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.