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Finding the Fourth Proportional to 343.84, 516.12 and 336.10

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Solution

The fourth proportional to 343.84, 516.12 and 336.10 is: 504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 516.12 = 336.10 : x
  2. Step 2: Convert to fraction form
    343.84/516.12 = 336.10/x
  3. Step 3: Cross multiply
    343.84x = 516.12 × 336.10
  4. Step 4: Simplify right side
    343.84x = 173,467.93
  5. Step 5: Solve for x
    x = 173,467.93/343.84
  6. Step 6: Final answer
    x = 504.50

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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.