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Finding the Fourth Proportional to 341.75, 471.36 and 217.30

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Solution

The fourth proportional to 341.75, 471.36 and 217.30 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.75 : 471.36 = 217.30 : x
  2. Step 2: Convert to fraction form
    341.75/471.36 = 217.30/x
  3. Step 3: Cross multiply
    341.75x = 471.36 × 217.30
  4. Step 4: Simplify right side
    341.75x = 102,426.53
  5. Step 5: Solve for x
    x = 102,426.53/341.75
  6. Step 6: Final answer
    x = 299.71

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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.