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Finding the Fourth Proportional to 393.77, 543.44 and 228.03

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Solution

The fourth proportional to 393.77, 543.44 and 228.03 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.77 : 543.44 = 228.03 : x
  2. Step 2: Convert to fraction form
    393.77/543.44 = 228.03/x
  3. Step 3: Cross multiply
    393.77x = 543.44 × 228.03
  4. Step 4: Simplify right side
    393.77x = 123,920.62
  5. Step 5: Solve for x
    x = 123,920.62/393.77
  6. Step 6: Final answer
    x = 314.70

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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.