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Finding the Fourth Proportional to 394.70, 544.62 and 228.86

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Solution

The fourth proportional to 394.70, 544.62 and 228.86 is: 315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.70 : 544.62 = 228.86 : x
  2. Step 2: Convert to fraction form
    394.70/544.62 = 228.86/x
  3. Step 3: Cross multiply
    394.70x = 544.62 × 228.86
  4. Step 4: Simplify right side
    394.70x = 124,637.87
  5. Step 5: Solve for x
    x = 124,637.87/394.70
  6. Step 6: Final answer
    x = 315.78

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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.