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Finding the Fourth Proportional to 341.67, 471.49 and 209.11

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Solution

The fourth proportional to 341.67, 471.49 and 209.11 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.67 : 471.49 = 209.11 : x
  2. Step 2: Convert to fraction form
    341.67/471.49 = 209.11/x
  3. Step 3: Cross multiply
    341.67x = 471.49 × 209.11
  4. Step 4: Simplify right side
    341.67x = 98,592.75
  5. Step 5: Solve for x
    x = 98,592.75/341.67
  6. Step 6: Final answer
    x = 288.56

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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.