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Finding the Fourth Proportional to 346.73, 475.38 and 340.61

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Solution

The fourth proportional to 346.73, 475.38 and 340.61 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.73 : 475.38 = 340.61 : x
  2. Step 2: Convert to fraction form
    346.73/475.38 = 340.61/x
  3. Step 3: Cross multiply
    346.73x = 475.38 × 340.61
  4. Step 4: Simplify right side
    346.73x = 161,916.80
  5. Step 5: Solve for x
    x = 161,916.80/346.73
  6. Step 6: Final answer
    x = 466.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.