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Finding the Fourth Proportional to 515.77, 773.82 and 343.12

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Solution

The fourth proportional to 515.77, 773.82 and 343.12 is: 514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.77 : 773.82 = 343.12 : x
  2. Step 2: Convert to fraction form
    515.77/773.82 = 343.12/x
  3. Step 3: Cross multiply
    515.77x = 773.82 × 343.12
  4. Step 4: Simplify right side
    515.77x = 265,509.25
  5. Step 5: Solve for x
    x = 265,509.25/515.77
  6. Step 6: Final answer
    x = 514.79

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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.