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Finding the Fourth Proportional to 394.46, 544.31 and 228.64

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Solution

The fourth proportional to 394.46, 544.31 and 228.64 is: 315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.46 : 544.31 = 228.64 : x
  2. Step 2: Convert to fraction form
    394.46/544.31 = 228.64/x
  3. Step 3: Cross multiply
    394.46x = 544.31 × 228.64
  4. Step 4: Simplify right side
    394.46x = 124,447.17
  5. Step 5: Solve for x
    x = 124,447.17/394.46
  6. Step 6: Final answer
    x = 315.49

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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.