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Finding the Fourth Proportional to 394.12, 543.84 and 228.33

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Solution

The fourth proportional to 394.12, 543.84 and 228.33 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.12 : 543.84 = 228.33 : x
  2. Step 2: Convert to fraction form
    394.12/543.84 = 228.33/x
  3. Step 3: Cross multiply
    394.12x = 543.84 × 228.33
  4. Step 4: Simplify right side
    394.12x = 124,174.99
  5. Step 5: Solve for x
    x = 124,174.99/394.12
  6. Step 6: Final answer
    x = 315.07

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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.