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Finding the Fourth Proportional to 338.59, 467.31 and 207.69

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Solution

The fourth proportional to 338.59, 467.31 and 207.69 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.59 : 467.31 = 207.69 : x
  2. Step 2: Convert to fraction form
    338.59/467.31 = 207.69/x
  3. Step 3: Cross multiply
    338.59x = 467.31 × 207.69
  4. Step 4: Simplify right side
    338.59x = 97,055.61
  5. Step 5: Solve for x
    x = 97,055.61/338.59
  6. Step 6: Final answer
    x = 286.65

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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.