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Finding the Fourth Proportional to 343.50, 516.36 and 275.76

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Solution

The fourth proportional to 343.50, 516.36 and 275.76 is: 414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 516.36 = 275.76 : x
  2. Step 2: Convert to fraction form
    343.50/516.36 = 275.76/x
  3. Step 3: Cross multiply
    343.50x = 516.36 × 275.76
  4. Step 4: Simplify right side
    343.50x = 142,391.43
  5. Step 5: Solve for x
    x = 142,391.43/343.50
  6. Step 6: Final answer
    x = 414.53

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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.