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Finding the Fourth Proportional to 517.12, 775.24 and 243.06

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Solution

The fourth proportional to 517.12, 775.24 and 243.06 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 775.24 = 243.06 : x
  2. Step 2: Convert to fraction form
    517.12/775.24 = 243.06/x
  3. Step 3: Cross multiply
    517.12x = 775.24 × 243.06
  4. Step 4: Simplify right side
    517.12x = 188,429.83
  5. Step 5: Solve for x
    x = 188,429.83/517.12
  6. Step 6: Final answer
    x = 364.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.