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Finding the Fourth Proportional to 465.94, 698.19 and 343.63

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Solution

The fourth proportional to 465.94, 698.19 and 343.63 is: 514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 698.19 = 343.63 : x
  2. Step 2: Convert to fraction form
    465.94/698.19 = 343.63/x
  3. Step 3: Cross multiply
    465.94x = 698.19 × 343.63
  4. Step 4: Simplify right side
    465.94x = 239,919.03
  5. Step 5: Solve for x
    x = 239,919.03/465.94
  6. Step 6: Final answer
    x = 514.91

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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.