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Finding the Fourth Proportional to 339.57, 468.25 and 208.49

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Solution

The fourth proportional to 339.57, 468.25 and 208.49 is: 287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.57 : 468.25 = 208.49 : x
  2. Step 2: Convert to fraction form
    339.57/468.25 = 208.49/x
  3. Step 3: Cross multiply
    339.57x = 468.25 × 208.49
  4. Step 4: Simplify right side
    339.57x = 97,622.58
  5. Step 5: Solve for x
    x = 97,622.58/339.57
  6. Step 6: Final answer
    x = 287.49

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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.