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Finding the Fourth Proportional to 403.44, 556.78 and 228.80

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Solution

The fourth proportional to 403.44, 556.78 and 228.80 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.44 : 556.78 = 228.80 : x
  2. Step 2: Convert to fraction form
    403.44/556.78 = 228.80/x
  3. Step 3: Cross multiply
    403.44x = 556.78 × 228.80
  4. Step 4: Simplify right side
    403.44x = 127,391.26
  5. Step 5: Solve for x
    x = 127,391.26/403.44
  6. Step 6: Final answer
    x = 315.76

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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.