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Finding the Fourth Proportional to 343.40, 514.43 and 206.04

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Solution

The fourth proportional to 343.40, 514.43 and 206.04 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 514.43 = 206.04 : x
  2. Step 2: Convert to fraction form
    343.40/514.43 = 206.04/x
  3. Step 3: Cross multiply
    343.40x = 514.43 × 206.04
  4. Step 4: Simplify right side
    343.40x = 105,990.84
  5. Step 5: Solve for x
    x = 105,990.84/343.40
  6. Step 6: Final answer
    x = 308.65

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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.