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Finding the Fourth Proportional to 341.49, 471.12 and 208.61

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Solution

The fourth proportional to 341.49, 471.12 and 208.61 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.49 : 471.12 = 208.61 : x
  2. Step 2: Convert to fraction form
    341.49/471.12 = 208.61/x
  3. Step 3: Cross multiply
    341.49x = 471.12 × 208.61
  4. Step 4: Simplify right side
    341.49x = 98,278.97
  5. Step 5: Solve for x
    x = 98,278.97/341.49
  6. Step 6: Final answer
    x = 287.79

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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.