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Finding the Fourth Proportional to 341.82, 471.84 and 217.68

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Solution

The fourth proportional to 341.82, 471.84 and 217.68 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 471.84 = 217.68 : x
  2. Step 2: Convert to fraction form
    341.82/471.84 = 217.68/x
  3. Step 3: Cross multiply
    341.82x = 471.84 × 217.68
  4. Step 4: Simplify right side
    341.82x = 102,710.13
  5. Step 5: Solve for x
    x = 102,710.13/341.82
  6. Step 6: Final answer
    x = 300.48

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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.