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Finding the Fourth Proportional to 338.61, 467.39 and 228.05

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Solution

The fourth proportional to 338.61, 467.39 and 228.05 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.39 = 228.05 : x
  2. Step 2: Convert to fraction form
    338.61/467.39 = 228.05/x
  3. Step 3: Cross multiply
    338.61x = 467.39 × 228.05
  4. Step 4: Simplify right side
    338.61x = 106,588.29
  5. Step 5: Solve for x
    x = 106,588.29/338.61
  6. Step 6: Final answer
    x = 314.78

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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.