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Finding the Fourth Proportional to 343.99, 474.67 and 204.09

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Solution

The fourth proportional to 343.99, 474.67 and 204.09 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.99 : 474.67 = 204.09 : x
  2. Step 2: Convert to fraction form
    343.99/474.67 = 204.09/x
  3. Step 3: Cross multiply
    343.99x = 474.67 × 204.09
  4. Step 4: Simplify right side
    343.99x = 96,875.40
  5. Step 5: Solve for x
    x = 96,875.40/343.99
  6. Step 6: Final answer
    x = 281.62

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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.