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Finding the Fourth Proportional to 338.74, 467.06 and 288.85

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Solution

The fourth proportional to 338.74, 467.06 and 288.85 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.74 : 467.06 = 288.85 : x
  2. Step 2: Convert to fraction form
    338.74/467.06 = 288.85/x
  3. Step 3: Cross multiply
    338.74x = 467.06 × 288.85
  4. Step 4: Simplify right side
    338.74x = 134,910.28
  5. Step 5: Solve for x
    x = 134,910.28/338.74
  6. Step 6: Final answer
    x = 398.27

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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.