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Finding the Fourth Proportional to 338.54, 467.26 and 207.64

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Solution

The fourth proportional to 338.54, 467.26 and 207.64 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 467.26 = 207.64 : x
  2. Step 2: Convert to fraction form
    338.54/467.26 = 207.64/x
  3. Step 3: Cross multiply
    338.54x = 467.26 × 207.64
  4. Step 4: Simplify right side
    338.54x = 97,021.87
  5. Step 5: Solve for x
    x = 97,021.87/338.54
  6. Step 6: Final answer
    x = 286.59

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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.