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Finding the Fourth Proportional to 394.51, 544.46 and 228.78

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Solution

The fourth proportional to 394.51, 544.46 and 228.78 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.51 : 544.46 = 228.78 : x
  2. Step 2: Convert to fraction form
    394.51/544.46 = 228.78/x
  3. Step 3: Cross multiply
    394.51x = 544.46 × 228.78
  4. Step 4: Simplify right side
    394.51x = 124,561.56
  5. Step 5: Solve for x
    x = 124,561.56/394.51
  6. Step 6: Final answer
    x = 315.74

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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.