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Finding the Fourth Proportional to 343.46, 515.28 and 206.42

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Solution

The fourth proportional to 343.46, 515.28 and 206.42 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 515.28 = 206.42 : x
  2. Step 2: Convert to fraction form
    343.46/515.28 = 206.42/x
  3. Step 3: Cross multiply
    343.46x = 515.28 × 206.42
  4. Step 4: Simplify right side
    343.46x = 106,364.10
  5. Step 5: Solve for x
    x = 106,364.10/343.46
  6. Step 6: Final answer
    x = 309.68

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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.