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Finding the Fourth Proportional to 394.06, 543.74 and 228.28

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Solution

The fourth proportional to 394.06, 543.74 and 228.28 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 543.74 = 228.28 : x
  2. Step 2: Convert to fraction form
    394.06/543.74 = 228.28/x
  3. Step 3: Cross multiply
    394.06x = 543.74 × 228.28
  4. Step 4: Simplify right side
    394.06x = 124,124.97
  5. Step 5: Solve for x
    x = 124,124.97/394.06
  6. Step 6: Final answer
    x = 314.99

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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.