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Finding the Fourth Proportional to 341.30, 471.08 and 217.03

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Solution

The fourth proportional to 341.30, 471.08 and 217.03 is: 299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 471.08 = 217.03 : x
  2. Step 2: Convert to fraction form
    341.30/471.08 = 217.03/x
  3. Step 3: Cross multiply
    341.30x = 471.08 × 217.03
  4. Step 4: Simplify right side
    341.30x = 102,235.05
  5. Step 5: Solve for x
    x = 102,235.05/341.30
  6. Step 6: Final answer
    x = 299.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.