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Finding the Fourth Proportional to 338.52, 467 and 207.56

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Solution

The fourth proportional to 338.52, 467 and 207.56 is: 286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 467 = 207.56 : x
  2. Step 2: Convert to fraction form
    338.52/467 = 207.56/x
  3. Step 3: Cross multiply
    338.52x = 467 × 207.56
  4. Step 4: Simplify right side
    338.52x = 96,930.52
  5. Step 5: Solve for x
    x = 96,930.52/338.52
  6. Step 6: Final answer
    x = 286.34

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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.