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Finding the Fourth Proportional to 343.38, 514.17 and 204.45

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Solution

The fourth proportional to 343.38, 514.17 and 204.45 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 514.17 = 204.45 : x
  2. Step 2: Convert to fraction form
    343.38/514.17 = 204.45/x
  3. Step 3: Cross multiply
    343.38x = 514.17 × 204.45
  4. Step 4: Simplify right side
    343.38x = 105,122.06
  5. Step 5: Solve for x
    x = 105,122.06/343.38
  6. Step 6: Final answer
    x = 306.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.