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Finding the Fourth Proportional to 338.97, 467.47 and 228.24

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Solution

The fourth proportional to 338.97, 467.47 and 228.24 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.97 : 467.47 = 228.24 : x
  2. Step 2: Convert to fraction form
    338.97/467.47 = 228.24/x
  3. Step 3: Cross multiply
    338.97x = 467.47 × 228.24
  4. Step 4: Simplify right side
    338.97x = 106,695.35
  5. Step 5: Solve for x
    x = 106,695.35/338.97
  6. Step 6: Final answer
    x = 314.76

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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.