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Finding the Fourth Proportional to 394.05, 543.80 and 228.24

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Solution

The fourth proportional to 394.05, 543.80 and 228.24 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.05 : 543.80 = 228.24 : x
  2. Step 2: Convert to fraction form
    394.05/543.80 = 228.24/x
  3. Step 3: Cross multiply
    394.05x = 543.80 × 228.24
  4. Step 4: Simplify right side
    394.05x = 124,116.91
  5. Step 5: Solve for x
    x = 124,116.91/394.05
  6. Step 6: Final answer
    x = 314.98

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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.