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Finding the Fourth Proportional to 515.67, 771.80 and 393.24

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Solution

The fourth proportional to 515.67, 771.80 and 393.24 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.67 : 771.80 = 393.24 : x
  2. Step 2: Convert to fraction form
    515.67/771.80 = 393.24/x
  3. Step 3: Cross multiply
    515.67x = 771.80 × 393.24
  4. Step 4: Simplify right side
    515.67x = 303,500.67
  5. Step 5: Solve for x
    x = 303,500.67/515.67
  6. Step 6: Final answer
    x = 588.56

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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.