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Finding the Fourth Proportional to 341.94, 471.50 and 217.46

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Solution

The fourth proportional to 341.94, 471.50 and 217.46 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.94 : 471.50 = 217.46 : x
  2. Step 2: Convert to fraction form
    341.94/471.50 = 217.46/x
  3. Step 3: Cross multiply
    341.94x = 471.50 × 217.46
  4. Step 4: Simplify right side
    341.94x = 102,532.39
  5. Step 5: Solve for x
    x = 102,532.39/341.94
  6. Step 6: Final answer
    x = 299.85

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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.