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Finding the Fourth Proportional to 394.38, 544.02 and 339.84

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Solution

The fourth proportional to 394.38, 544.02 and 339.84 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.38 : 544.02 = 339.84 : x
  2. Step 2: Convert to fraction form
    394.38/544.02 = 339.84/x
  3. Step 3: Cross multiply
    394.38x = 544.02 × 339.84
  4. Step 4: Simplify right side
    394.38x = 184,879.76
  5. Step 5: Solve for x
    x = 184,879.76/394.38
  6. Step 6: Final answer
    x = 468.79

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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.