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Finding the Fourth Proportional to 339.84, 468.71 and 208.72

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Solution

The fourth proportional to 339.84, 468.71 and 208.72 is: 287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 468.71 = 208.72 : x
  2. Step 2: Convert to fraction form
    339.84/468.71 = 208.72/x
  3. Step 3: Cross multiply
    339.84x = 468.71 × 208.72
  4. Step 4: Simplify right side
    339.84x = 97,829.15
  5. Step 5: Solve for x
    x = 97,829.15/339.84
  6. Step 6: Final answer
    x = 287.87

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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.